A Math

A Math (IGCSE)

E Math

E Math (IGCSE)

H1 Math

H2 Math

IB AA HL Math

IB AA SL Math

IB AI HL Math

IB AI SL Math

IP Math

N(A) A Math

N(A) E Math

PSLE

PSLE Foundation Mathematics

<p>The following bar graph shows the unit cost and unit selling price of six items in a store.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767772322945-f68m9qxei6b.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NzIzMjI5NDUtZjY4bTlxeGVpNmIucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU2Mzk5MCwiZXhwIjoxNzkzNTY0MjkwfQ.piSzNDAKV4ZHDrjq_Jj-mee10IBgmzWjKu7cd4YSnRM" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-paragraph">Using the data from the bar graph above, complete the table below.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-i-diagram-1.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaS1kaWFncmFtLTEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU2Mzk5MCwiZXhwIjoxNzkzNTY0MjkwfQ.igLbcZQvLMbqpbobDLVVC7yRiuDps-9gseP17dvlAL8" alt="List item image" class="aligncenter custom-width" style="max-width: min(450px, 100%); height: auto;" /></div><div class="list-item-paragraph">The bar graph below shows the quantities sold (in hundreds) of the six items from July to September.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-i-diagram-2-624x362.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaS1kaWFncmFtLTItNjI0eDM2Mi5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNTYzOTkwLCJleHAiOjE3OTM1NjQyOTB9.V_nVd5mPMHYacikZwP91z4voUuIXX2JCCC6DA2xfO5A" alt="List item image" class="aligncenter custom-width" style="max-width: min(450px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">Using the data above, complete the pie chart below by subdividing the grey part according to the sales of items D, E and F. Hence state clearly the quantity sold for each item and the degree of each sector.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-ii-diagram--624x396.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaWktZGlhZ3JhbS0tNjI0eDM5Ni5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNTYzOTkwLCJleHAiOjE3OTM1NjQyOTB9.tajo3JbTibQX1SGassGFaA1wbjTWfQlNJXd90NuKXkA" alt="List item image" class="aligncenter custom-width" style="max-width: min(350px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">Complete the table below, which shows the total profit earned by each of the six items from July to September.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-iii-diagram--624x91.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaWlpLWRpYWdyYW0tLTYyNHg5MS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNTYzOTkwLCJleHAiOjE3OTM1NjQyOTB9.n82ZQ-xUgV5XDIf9Gp4_6J3h4TeAkRXAZQraV2cRLVU" alt="List item image" class="aligncenter" style="max-width: 100%; height: auto;" /></div></li><li><div class="list-item-paragraph">Based on your answers in (iii), state which item has the highest total profit and which item has the lowest total profit.</div></li><li><div class="list-item-paragraph">Given that from July to September, the item that has the highest total profit is fan, while the item that has the lowest total profit is scarf, give one suggestion for the store’s selling plan for the next quarter (October to December), based on the following assumptions, respectively:</div><ol class="abc-list"><li><div class="list-item-paragraph">without considering any other factors;

</div></li><li><div class="list-item-paragraph">considering the monthly average temperature of the region where the store is located, which is shown in the line graph below.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-v-diagram--624x332.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtdi1kaWFncmFtLS02MjR4MzMyLnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTM1NjM5OTAsImV4cCI6MTc5MzU2NDI5MH0.f_nBqAibmeEyuqGU_GMd3EYOHg5c-OipP1f4vE-h6Fk" alt="Sub-item image" class="aligncenter custom-width" style="max-width: min(450px, 100%); height: auto;" /></div></li></ol></li></ol>

The following bar graph shows the unit cost and unit selling price of six items in a store.

Percentages involving Finances: Profit and Loss

Interpreting and Evaluating Statistical Representations

Pie Charts

Bar Graphs

Line Graphs

 Bar Graphs, Pie Charts, Line Graphs

Statistics

Percentages

<p>A clothing store purchases $600$
 shirts at a wholesale price of $\$12$
 each. If <strong>5%</strong>
 of the shirts are damaged and need to be sold at a <strong>20%</strong>
 discount, and the store aims to achieve a <strong>25%</strong>
 profit on the cost price, what should be the selling price of the undamaged shirts?</p>

A clothing store purchases $600$
 shirts at a wholesale price of $\$12$
 each. If **5%**
 of the shirts are damaged and need to be sold at a **20%**
 discount, and the store aims to achieve a **25%**
 profit on the cost price, what should be the selling price of the undamaged shirts?

Percentages involving Finances: Discount

 Percentages involving Finances: Profit, Discount

<p>A tech store is selling a laptop at $\$1200$ after offering a discount of $25$<strong>%</strong>. Despite the discount, the store still earns a profit of <strong>20%</strong>.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the original price of the laptop before the discount.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the cost price of the laptop.</span></div></li></ol>

A tech store is selling a laptop at $\$1200$ after offering a discount of $25$**%**. Despite the discount, the store still earns a profit of **20%**.

Find the original price of the laptop before the discount.

<p>A farmer has $3200$ watermelons to be sold at $\$4.50$ each. If $5\%$ of the watermelons were found to be overripe and unsellable, and the farmer managed to make a $30\%$ profit in total, find the cost price per watermelon.</p>

A farmer has $3200$ watermelons to be sold at $\$4.50$ each. If $5\%$ of the watermelons were found to be overripe and unsellable, and the farmer managed to make a $30\%$ profit in total, find the cost price per watermelon.

<p>Three companies, A, B, and C, cooperate with a technological university to develop a project. The investment ratio of companies A, B, and C is $a : b : c$ in the simplest form. The university does not invest money but will share $25%$ of the profits. The rest of the profits will be shared by companies A, B and C according to the ratio of their investments.</p>
<ol class="i-list"><li><div class="list-item-paragraph">The pie chart below shows the investment of the three companies. Find the values of $a$, $b$ and $c$.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/05/Question-22-i-diagram-1.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0yMi1pLWRpYWdyYW0tMS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNTYzOTkwLCJleHAiOjE3OTM1NjQyOTB9.wuoOLHD0n-qRAxF4glS_i9lzJomo_lgjDACe5IFphY0" alt="List item image" class="aligncenter custom-width" style="max-width: min(250px, 100%); height: auto;" /></div></li></ol>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">Construct a pie chart using the figure below to illustrate the profit distribution among companies A, B, C, and the university, stating clearly the degree of each sector, profit distribution in percentage and the name of each entity.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/05/Question-22-ii-diagram-1.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0yMi1paS1kaWFncmFtLTEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU2Mzk5MCwiZXhwIjoxNzkzNTY0MjkwfQ.L6Uv9k_VcTFSm9mRTg2VjhHnxjglftRj4GEgvPgFb3Q" alt="List item image" class="aligncenter custom-width" style="max-width: min(300px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">Given that the project yields a total profit of $\$2\ 800\ 000$, find the amount of profit that companies A, B, C and the university receive, respectively.</div></li><li><div class="list-item-paragraph">Given that the profit rate of companies A, B and C is $40%$, find the investment of companies A, B and C, respectively.</div></li><li><div class="list-item-content"><span class="list-item-text">State one advantage of representing the investment of the companies and profit distribution in pie charts.</span></div></li></ol>

Three companies, A, B, and C, cooperate with a technological university to develop a project. The investment ratio of companies A, B, and C is $a : b : c$ in the simplest form. The university does not invest money but will share $25%$ of the profits. The rest of the profits will be shared by companies A, B and C according to the ratio of their investments.

The pie chart below shows the investment of the three companies. Find the values of $a$, $b$ and $c$.

Construct a pie chart using the figure below to illustrate the profit distribution among companies A, B, C, and the university, stating clearly the degree of each sector, profit distribution in percentage and the name of each entity.

State one advantage of representing the investment of the companies and profit distribution in pie charts.

Dividing Quantities in a Given Ratio

Simplifying Ratios

Ratio, Rate and Speed

<p>The line graph below shows the total costs and total sales of a company for each year from $2012$ to $2022$.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767762144869-f2u66aob90t.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjIxNDQ4NjktZjJ1NjZhb2I5MHQucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU2Mzk5MCwiZXhwIjoxNzkzNTY0MjkwfQ.2qVafEy5BeqivkAsitxW8o4TEq-Wj1Dh81EHNDEPZcU" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-paragraph">Find the percentage increase of the company’s total annual costs and total annual sales from $2012$ to $2022$, respectively.</div></li></ol>
<p>The table below shows the profit and profit rate of the company for each year from $2012$ to $2022$.</p>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">Complete the table, correcting your answers to $3$ significant figures for profit rate.</div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Year</th><th style="text-align: left; --cell-justify: flex-start">2012</th><th style="text-align: left; --cell-justify: flex-start">2013</th><th style="text-align: left; --cell-justify: flex-start">2014</th><th style="text-align: left; --cell-justify: flex-start">2015</th><th style="text-align: left; --cell-justify: flex-start">2016</th><th style="text-align: left; --cell-justify: flex-start">2017</th><th style="text-align: left; --cell-justify: flex-start">2018</th><th style="text-align: left; --cell-justify: flex-start">2019</th><th style="text-align: left; --cell-justify: flex-start">2020</th><th style="text-align: left; --cell-justify: flex-start">2021</th><th style="text-align: left; --cell-justify: flex-start">2022</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Profit ($ million)</td><td style="text-align: left; --cell-justify: flex-start">0.3</td><td style="text-align: left; --cell-justify: flex-start">0.4</td><td style="text-align: left; --cell-justify: flex-start">0.6</td><td style="text-align: left; --cell-justify: flex-start">0.8</td><td style="text-align: left; --cell-justify: flex-start">1.3</td><td style="text-align: left; --cell-justify: flex-start">1.1</td><td style="text-align: left; --cell-justify: flex-start">0.8</td><td style="text-align: left; --cell-justify: flex-start">0.7</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Profit Rate (%)</td><td style="text-align: left; --cell-justify: flex-start">60.0</td><td style="text-align: left; --cell-justify: flex-start">50.0</td><td style="text-align: left; --cell-justify: flex-start">42.9</td><td style="text-align: left; --cell-justify: flex-start">27.6</td><td style="text-align: left; --cell-justify: flex-start">35.1</td><td style="text-align: left; --cell-justify: flex-start">27.5</td><td style="text-align: left; --cell-justify: flex-start">19.0</td><td style="text-align: left; --cell-justify: flex-start">15.2</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr></tbody></table></div></div>
<ol class="i-list" start="3"><li><div class="list-item-paragraph">Hence find the greatest annual profit and the greatest annual profit rate of the company from $2012$ to $2022$, and state the year(s) when these values occur.</div></li><li><div class="list-item-content"><span class="list-item-text">Hence complete the line graph below and state the year(s) when the company had an annual profit loss.</span></div></li></ol>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767762242825-qmj78mld5p8.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjIyNDI4MjUtcW1qNzhtbGQ1cDgucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU2Mzk5MCwiZXhwIjoxNzkzNTY0MjkwfQ.up_aBJvNeLQhqvNUHK7f6_K7WtxWjEYLz7Edh9xVLKQ" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

The line graph below shows the total costs and total sales of a company for each year from $2012$ to $2022$.

The table below shows the profit and profit rate of the company for each year from $2012$ to $2022$.

Hence complete the line graph below and state the year(s) when the company had an annual profit loss.

<p>The pie charts below show the composition of sales and costs of $4$ different products of a company in $2022$, respectively. Given that the total costs and the total sales of the company in $2022$ is $\$1.2$ million and $\$2.0$ million, find</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767760842044-smj4ezvy8l.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjA4NDIwNDQtc21qNGV6dnk4bC5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNTYzOTkwLCJleHAiOjE3OTM1NjQyOTB9.yDqaas_iLO-Aes36GtpuY8mxP_EqecOYY5lBwOlp6a4" style="max-width: min(300px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">the values of $x$, $y$ and $z$, respectively,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the profit that the company earns from each of Product A, B, C and D, respectively, and</span></div></li><li><div class="list-item-paragraph">the profit rate of each of Product A, B, C and D, respectively, expressed by the profit as a percentage of the cost of each product, correcting your answers to $3$ significant figures.</div></li><li><div class="list-item-content"><span class="list-item-text">Based on your answers in (ii) and (iii), state one suggestion for the company to increase its total profit, assuming the fluctuations in costs and sales in the future is negligible.</span></div></li></ol>

The pie charts below show the composition of sales and costs of $4$ different products of a company in $2022$, respectively. Given that the total costs and the total sales of the company in $2022$ is $\$1.2$ million and $\$2.0$ million, find

the values of $x$, $y$ and $z$, respectively,

the profit that the company earns from each of Product A, B, C and D, respectively, and

Based on your answers in (ii) and (iii), state one suggestion for the company to increase its total profit, assuming the fluctuations in costs and sales in the future is negligible.

<p>A cake shop sells cupcakes and profits at a percentage of $80\%$ on the cost of raw materials. The cost of raw materials then decreases by $20\%$, thus the cake shop offers a discount of cupcake at $10\%$ for $10$ days. Then the cake shop retrieves the marked selling price while the cost of raw materials does not change.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the percentage profit of the cake shop during the discounting period.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the percentage profit of the cake shop after the discounting period.</span></div></li><li><div class="list-item-paragraph">The marked selling price of each cupcake is $\$18$. The cake shop sells $120$ cupcakes on average every day during the $10$ days of discount. After retrieving the marked selling price, the cake shop sells $85$ cupcakes on average every day for another $10$ days.</div><div class="list-item-paragraph">Find the total amount of profit of this cake shop during the $20$ days, considering only raw materials as the cost.

</div></li></ol>

A cake shop sells cupcakes and profits at a percentage of $80\%$ on the cost of raw materials. The cost of raw materials then decreases by $20\%$, thus the cake shop offers a discount of cupcake at $10\%$ for $10$ days. Then the cake shop retrieves the marked selling price while the cost of raw materials does not change.

Find the percentage profit of the cake shop during the discounting period.

Find the percentage profit of the cake shop after the discounting period.

Percentages involving Finances: Profit, Loss, and Discount

<p>A storeowner buys a certain number of goods from supplier A at $\$6$ as a unit price and sell at $\$12$ as a unit price. The storeowner bears all other costs at $\$4,000$ in total. Suppose the owner manages to sell all the goods and earns a profit of $20\%$ on the total cost.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the number of goods the owner buys from supplier A.</span></div></li></ol>
<p>Another supplier B offers a lower unit price at $\$4$ to the storeowner. The storeowner buys a new number of such goods from supplier B and sell at the unit price $\$12$. But this time the storeowner only sells $45\%$ of the goods and made a loss of $10\%$ on the total cost. Suppose all other costs are also $\$4,000$ in total.</p>
<ol class="i-list" start="2"><li><div class="list-item-content"><span class="list-item-text">Find the new number of goods the owner buys from supplier B.</span></div></li></ol>

A storeowner buys a certain number of goods from supplier A at $\$6$ as a unit price and sell at $\$12$ as a unit price. The storeowner bears all other costs at $\$4,000$ in total. Suppose the owner manages to sell all the goods and earns a profit of $20\%$ on the total cost.

Find the number of goods the owner buys from supplier A.

Another supplier B offers a lower unit price at $\$4$ to the storeowner. The storeowner buys a new number of such goods from supplier B and sell at the unit price $\$12$. But this time the storeowner only sells $45\%$ of the goods and made a loss of $10\%$ on the total cost. Suppose all other costs are also $\$4,000$ in total.

Find the new number of goods the owner buys from supplier B.

Applications of Linear Equations in Real Life

 Percentages involving Finances: Profit and Loss

Linear Equations and Inequalities

<p>A stationery vendor bought $500$ pencils at a total price of $\$300$ and sells the pencils at $\$1.00$ each. Find</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">the cost of each pencil,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the profit as a percentage of the cost for each pencil (Correct your answer to $3$ significant figures),</span></div></li><li><div class="list-item-content"><span class="list-item-text">the number of pencils he has to sell to avoid making a loss,</span></div></li><li><div class="list-item-content"><span class="list-item-text">total amount of profit if all the pencils are sold,</span></div></li><li><div class="list-item-content"><span class="list-item-text">If $27$ of the pencils are damaged, which cannot be sold, find the new selling price of each pencil if the vendor intends to keep the same amount of profit. Round your answer to the nearest cent.</span></div></li></ol>

A stationery vendor bought $500$ pencils at a total price of $\$300$ and sells the pencils at $\$1.00$ each. Find

the profit as a percentage of the cost for each pencil (Correct your answer to $3$ significant figures),

the number of pencils he has to sell to avoid making a loss,

total amount of profit if all the pencils are sold,

If $27$ of the pencils are damaged, which cannot be sold, find the new selling price of each pencil if the vendor intends to keep the same amount of profit. Round your answer to the nearest cent.

<p>A factory buys raw materials at $\$25,000$ and pays salary to workers at $\$60,000$. The products are sold to a store at a profit of $15\%$ on the total cost.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the total selling price of the products by the factory.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Due to the increasing cost in raw materials, the factory makes a loss of $8\%$ on the total cost, given that the workers’ salary and selling price stay the same. Find the new price of raw materials.</span></div></li></ol>

A factory buys raw materials at $\$25,000$ and pays salary to workers at $\$60,000$. The products are sold to a store at a profit of $15\%$ on the total cost.

Find the total selling price of the products by the factory.

Due to the increasing cost in raw materials, the factory makes a loss of $8\%$ on the total cost, given that the workers’ salary and selling price stay the same. Find the new price of raw materials.

<p>A fruit vendor buys $1000$ packs of strawberry from a farmer at $\$5$ per pack. All other costs including delivery are $\$200$ in total. Suppose all packs of strawberry are sold.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the selling price per pack of strawberry if the vendor wants to earn a $60\%$ profit on his total cost.</span></div></li><li><div class="list-item-content"><span class="list-item-text">During delivery, $17$ packs of the strawberry are damaged, thus cannot be sold. Find the new selling price per pack of strawberry if the vendor wants to earn a same percentage of profit on his total cost. Round your answer to the nearest cent.</span></div></li></ol>

A fruit vendor buys $1000$ packs of strawberry from a farmer at $\$5$ per pack. All other costs including delivery are $\$200$ in total. Suppose all packs of strawberry are sold.

Find the selling price per pack of strawberry if the vendor wants to earn a $60\%$ profit on his total cost.

During delivery, $17$ packs of the strawberry are damaged, thus cannot be sold. Find the new selling price per pack of strawberry if the vendor wants to earn a same percentage of profit on his total cost. Round your answer to the nearest cent.

<p>Mrs. Lim bought a house at $\$550,000$ and spent $\$50,000$ on the redecoration. She then leased the house at $\$42,000$ per year for $10$ years. Then Mrs. Lim sold the house at $\$700,000$.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the total profit of Mrs. Lim as a percentage of her cost (Correct your answer to $3$ significant figures).</span></div></li><li><div class="list-item-content"><span class="list-item-text">If Mrs. Lim only lease the house without selling it, find the number of years after which Mrs. Lim will obtain a profit of $5\%$.</span></div></li></ol>

Mrs. Lim bought a house at $\$550,000$ and spent $\$50,000$ on the redecoration. She then leased the house at $\$42,000$ per year for $10$ years. Then Mrs. Lim sold the house at $\$700,000$.

Find the total profit of Mrs. Lim as a percentage of her cost (Correct your answer to $3$ significant figures).

If Mrs. Lim only lease the house without selling it, find the number of years after which Mrs. Lim will obtain a profit of $5\%$.

<p>A shop is selling a television at $\$5850$ after offering a discount of $10\%$.</p>
<p>Despite offering the discount, the shop is still able to make a profit of $12.5\%$.</p>
<p>Calculate the</p>
<ol class="abc-list"><li data-list-item-id="item-1763968992089-242ggj9j8" data-list-item-path="item-1763968992089-242ggj9j8"><div class="list-item-paragraph">usual price of the television before the discount.</div></li><li data-list-item-id="item-1763968992861-62oa70maf" data-list-item-path="item-1763968992861-62oa70maf"><div class="list-item-paragraph">cost price of the television.</div></li></ol>

A shop is selling a television at $\$5850$ after offering a discount of $10\%$.

Despite offering the discount, the shop is still able to make a profit of $12.5\%$.

Discount and Profit: Finding Marked Price and Cost Price

<p>A shopkeeper buys $2500$ eggs at $\$1.50$ per dozen. $3\%$ of the eggs are broken. Find the selling price of each egg if he wants to earn a $40\%$ profit on the cost price.</p>

A shopkeeper buys $2500$ eggs at $\$1.50$ per dozen. $3\%$ of the eggs are broken. Find the selling price of each egg if he wants to earn a $40\%$ profit on the cost price.

Percentage Profit with Wastage

<p>A shopkeeper sold a chair at $\$200$ and made a profit of $25\%$ on the price he paid for it.</p>
<p>Calculate how much he paid for the chair.</p>

A shopkeeper sold a chair at $\$200$ and made a profit of $25\%$ on the price he paid for it.

Calculate how much he paid for the chair.

Original Price Before Profit

<p>The owner of a shop made a profit of $35\%$ on every item which he sold.</p>
<ol class="abc-list"><li data-list-item-id="item-1763966349469-560kyk945" data-list-item-path="item-1763966349469-560kyk945"><div class="list-item-paragraph">Find the selling price of a football which cost the shopkeeper $\$25$.</div></li><li data-list-item-id="item-1763966350150-1kgxwx4oi" data-list-item-path="item-1763966350150-1kgxwx4oi"><div class="list-item-paragraph">The shopkeeper made a profit of $\$84$ when he sold a watch. Calculate the selling price of the sports watch.</div></li></ol>

The owner of a shop made a profit of $35\%$ on every item which he sold.

Percentage Profit: Selling Price of Items

<p>When Claire sold her used study table for&nbsp;$\$80$, she made a loss of $60\%$. Calculate the price at which Claire bought her study table.</p>

When Claire sold her used study table for $\$80$, she made a loss of $60\%$. Calculate the price at which Claire bought her study table.

Percentage Loss – Finding the Original Price

<p>Jasmine bought an umbrella at a cost price of $\$5.80$. She made a profit of $35\%$ on the cost price when she sold it. Find the selling price. </p>

Jasmine bought an umbrella at a cost price of $\$5.80$. She made a profit of $35\%$ on the cost price when she sold it. Find the selling price. 

Percentage Profit: Finding the Selling Price

<p>The cost of manufacturing a car was $\$10\,800$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">It was sold to a car dealer at a profit of $10\%$ of the cost.  Calculate the price the car<br>dealer paid for the car.<br></div></li><li><div class="list-item-paragraph">The car dealer sold the car to a customer at a profit of $15\%$ of the price he paid for it.<br><br></div><div class="list-item-paragraph">Calculate how much the car cost the customer.</div></li><li><div class="list-item-paragraph">Calculate the percentage increase in the cost of the car from the manufacturer to the<br>customer.<br></div></li></ol>

The cost of manufacturing a car was $\$10\,800$.

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