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PSLE Foundation Mathematics

<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: Profit and Loss

Percentages involving Finances: Discount

 Percentages involving Finances: Profit, Discount

Percentages

<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>Leonard is planning to buy a new cooker and he noticed there are three different shops selling the same brand of cooker. The sales plans of the three shops are as follows (GST rate is $9\%$):</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 450px;"><colgroup><col style="width: 33.3333%;"><col style="width: 33.3333%;"><col style="width: 33.3333%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center">Shop A</th><th style="text-align: center; --cell-justify: center">Shop B</th><th style="text-align: center; --cell-justify: center">Shop C</th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">$\$50$ before GST.</td><td style="text-align: center; --cell-justify: center">$\$60$ inclusive of GST and a discount of $15\%$.</td><td style="text-align: center; --cell-justify: center">$\$60$ before GST and a discount of $50\%$ for the second one to buy.</td></tr></tbody></table></div></div>
<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">For each of the three shops, find the price Leonard needs to pay if he wants to buy only one such cooker. Hence, state which shop should Leonard choose.</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">One of Leonard's friends, Vincent, also wants to buy a such cooker, and Vincent agrees to share the bill equally with Leonard if possible. State which shop should they choose by providing detailed workings.</div></li></ol>

Leonard is planning to buy a new cooker and he noticed there are three different shops selling the same brand of cooker. The sales plans of the three shops are as follows (GST rate is $9\%$):

For each of the three shops, find the price Leonard needs to pay if he wants to buy only one such cooker. Hence, state which shop should Leonard choose.

One of Leonard's friends, Vincent, also wants to buy a such cooker, and Vincent agrees to share the bill equally with Leonard if possible. State which shop should they choose by providing detailed workings.

Percentages involving Finances: GST

Percentages involving Finances: Discount and GST

<p>Jimmy and Richard have lunch together at a restaurant. The receipt is as follows:</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/1767616429274-a5u4aytotxh.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2MTY0MjkyNzQtYTV1NGF5dG90eGgucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU2OTUwNSwiZXhwIjoxNzkzNTY5ODA1fQ.mnnszSPDl3fJq6tT_5iOPIvuMm-YhQSJfAK9edQ07KI" style="max-width: min(280px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-paragraph">Complete the receipt by finding the following:</div><ol class="abc-list"><li><div class="list-item-paragraph">the discount in percentage,</div></li><li><div class="list-item-paragraph">the service charge amount,</div></li><li><div class="list-item-paragraph">the GST amount (Round to the nearest cent),</div></li><li><div class="list-item-paragraph">the total price of this meal.</div></li></ol></li><li><div class="list-item-content"><span class="list-item-text">Jimmy argues that it would be cheaper in total if the service charge and GST are included before discount. Do you agree with Jimmy? State your reasons by providing detailed workings.</span></div></li></ol>

Jimmy and Richard have lunch together at a restaurant. The receipt is as follows:

Jimmy argues that it would be cheaper in total if the service charge and GST are included before discount. Do you agree with Jimmy? State your reasons by providing detailed workings.

Successive Percentage Changes

<p>On $15$ December $2022$, Jia Yi bought a personal computer at a shopping mall at a price of $\$1,605$, inclusive of GST (Goods and Services Tax) of $7\%$.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the price of the personal computer before GST.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the amount of GST that Jia Yi paid for the personal computer.</span></div></li></ol>
<p>The shopping mall will offer a discount of $12\%$ on the personal computer during Christmas & New Year's Holiday from $24$ December $2022$ to $3$ January $2023$. And from $1$ January $2023$, the GST in Singapore will be increased by one percentage point from $7\%$.</p>
<ol class="i-list" start="3"><li><div class="list-item-content"><span class="list-item-text">Find the new GST rate from $1$ January $2023$.</span></div></li><li><div class="list-item-paragraph">Find the price of the personal computer (including GST), respectively, if Jia Yi buys it on</div><ol class="abc-list"><li><div class="list-item-paragraph">$26$ December $2022$,</div></li><li><div class="list-item-paragraph">$2$ January $2023$,</div></li><li><div class="list-item-paragraph">$4$ January $2023$, </div></li></ol><div class="list-item-after-content">assuming the price of the personal computer before GST does not change.</div></li></ol>

On $15$ December $2022$, Jia Yi bought a personal computer at a shopping mall at a price of $\$1,605$, inclusive of GST (Goods and Services Tax) of $7\%$.

Find the price of the personal computer before GST.

Find the amount of GST that Jia Yi paid for the personal computer.

The shopping mall will offer a discount of $12\%$ on the personal computer during Christmas & New Year's Holiday from $24$ December $2022$ to $3$ January $2023$. And from $1$ January $2023$, the GST in Singapore will be increased by one percentage point from $7\%$.

Find the new GST rate from $1$ January $2023$.

<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 book at bookstore A is marked at $\$30$ but sold at $\$24$. Another bookstore B sells this kind of book at $\$28$ after a percentage discount of $30\%$. And bookstore B offers a further percentage discount of $20\%$ on each book after the first 100 when more than 100 books are purchased.</p>
<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">Find the percentage discounts of the book at bookstore A.</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Find the marked price of the book at bookstore B.</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">Find the selling price and the overall percentage discount of the book at bookstore B for the part of purchasing beyond $100$.</div></li><li data-list-item-id="item-iv" data-list-item-path="item-iv"><div class="list-item-paragraph">A school is planning to buy this kind of book for the students. Find which bookstore, A or B, has a cheaper total price if the school wants to buy $400$ such books.</div></li><li data-list-item-id="item-v" data-list-item-path="item-v"><div class="list-item-paragraph">Find the minimum number of books one will find it cheaper to buy from bookstore B than bookstore A.</div></li></ol>

A book at bookstore A is marked at $\$30$ but sold at $\$24$. Another bookstore B sells this kind of book at $\$28$ after a percentage discount of $30\%$. And bookstore B offers a further percentage discount of $20\%$ on each book after the first 100 when more than 100 books are purchased.

Find the percentage discounts of the book at bookstore A.

Find the marked price of the book at bookstore B.

Find the selling price and the overall percentage discount of the book at bookstore B for the part of purchasing beyond $100$.

A school is planning to buy this kind of book for the students. Find which bookstore, A or B, has a cheaper total price if the school wants to buy $400$ such books.

Find the minimum number of books one will find it cheaper to buy from bookstore B than bookstore A.

Applications of Linear Equations in Real Life

Linear Equations and Inequalities

<p>Roy orders a bowl of soup at a restaurant which offers a $25\%$ discount.  The marked price of the soup is $\$6.80$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the discounted price of the soup.</div></li><li><div class="list-item-paragraph">Given that there is an additional service charge of $10\%$ and GST at $7\%$, find the total amount of money he has to pay.<br></div></li></ol>

Roy orders a bowl of soup at a restaurant which offers a $25\%$ discount.  The marked price of the soup is $\$6.80$.

Discount, Service Charge and GST

<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>During a sale, an electronic tablet was sold at $\$1166$, after a $15\%$ discount of the marked price.  Calculate the marked price.</p>

During a sale, an electronic tablet was sold at $\$1166$, after a $15\%$ discount of the marked price.  Calculate the marked price.

Original Price Before Discount

<p>The marked price of a book is $\$50$. Find the selling price after $30\%$ discount. </p>

The marked price of a book is $\$50$. Find the selling price after $30\%$ discount. 

Selling Price After Discount

<p>The marked price of a refrigerator is $\$890$ and sold for&nbsp;$\$830$. Find the percentage discount.  </p>

The marked price of a refrigerator is $\$890$ and sold for $\$830$. Find the percentage discount.  

Calculating Discount Percentage

<p>A coffee machine priced at $\$1290$ is sold for&nbsp;$\$1190$. Find the percentage discount. </p>

A coffee machine priced at $\$1290$ is sold for $\$1190$. Find the percentage discount. 

Percentage Discount Calculation

<p>At a storewide sale, a bag costs $\$24$ after $20\%$ discount.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the original price of the bag.</div></li><li><div class="list-item-paragraph">Kenji has a member card which allows him to get an additional $10\%$ off the discounted price.  Is he able to buy the bag if he only has&nbsp;$\$20$? Show your working to support your answer.</div></li></ol>

At a storewide sale, a bag costs $\$24$ after $20\%$ discount.

Finding Marked Price

<p>Find the selling price of a bicycle with a marked price of $\$200$ if it is sold at a discount of $30\%$.</p>

Find the selling price of a bicycle with a marked price of $\$200$ if it is sold at a discount of $30\%$.

Finding Selling Price

<p>A toy priced at $\$45$ is sold for&nbsp;$\$39$. Find the percentage discount. </p>

A toy priced at $\$45$ is sold for $\$39$. Find the percentage discount. 

Finding Percentage Discount

<p>Emmeline made a profit of $25\%$ by selling her handbag for&nbsp;$\$200$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">How much did she buy it for?</div></li><li><div class="list-item-paragraph">What was the original cost price of the handbag if she bought it at a discount of $20\%$?</div></li></ol>

Emmeline made a profit of $25\%$ by selling her handbag for $\$200$.

Finding Cost Price

<p>During a festive season sale, a store assistant accidentally lowered the price of a dress by $35\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this dress underpaid $\$45$.  </p>
<p>Find the original price of the dress.</p>

During a festive season sale, a store assistant accidentally lowered the price of a dress by $35\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this dress underpaid $\$45$.  

Reverse Percentages

Reverse Percentage: Incorrect Discount

<p>During a festive season sale, a store assistant accidentally raised the price of digital camera by $15\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this camera was overcharged by $\$161$.</p>
<p>Find the original price of the digital camera.</p>

During a festive season sale, a store assistant accidentally raised the price of digital camera by $15\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this camera was overcharged by $\$161$.

Find the original price of the digital camera.

Reverse Percentage involving Differences

<p>In a sale, the price of a handbag was reduced by $20\%$ of its original price to $\$280$.</p>
<p>Find the original price of the handbag.</p>

In a sale, the price of a handbag was reduced by $20\%$ of its original price to $\$280$.

Math Question Bank