2026 NORTHBROOKS P2 Q9

2026 NORTHBROOKS P2 Q9

Secondary 4
9 marks

Daniel started work on 1 January 2021 with a monthly salary of \$4300.

His salary increases by 3% annually.

  1. Show that Daniel’s current monthly salary, in January 2026, is \$5000, correct to the nearest hundred dollars.[1]

Daniel has savings of \$100 000.

With his savings and monthly income, he intends to buy a car in January 2026.

Daniel wishes to maintain savings equivalent to at least 5 months of his current monthly salary after purchasing the car.

  1. Find the maximum amount Daniel can use from his savings.[1]

Daniel is deciding between buying a 1598cc petrol car or a 208kWh electric car.

The table below is used to calculate the cost price of the car:

Car Type1598cc petrol car208kW electric car
a.Base cost\$120 000\$130 000
b.COERefer to Table (COE Prices)Refer to Table (COE Prices)
c.RebatesNot Applicable\$30 000

Total cost price of car \(=a+b-c\).

A Certificate of Entitlement (COE) in Singapore represents the right to vehicle ownership in Singapore for a period of 10 years. Every car owner in Singapore must purchase a COE for the car. The COE prices for the year 2025 can be seen below.

Category A (Cars up to 1600 cc or 110kW)Category B (Cars above 1600 cc or 110kW)
Category C (Goods vehicle and bus)Category D (Motorcycle)
Category E (Open)

Daniel intends to make a down payment using his savings and take a bank loan for the remaining amount.

He wishes to borrow the maximum amount possible. The loan amount can be calculated using the information below.

Car Type1598cc petrol car208kW electric car
Maximum loan amount70% of cost price of car60% of cost price of car
Maximum loan period7 years7 years
Interest Rate (simple interest)2.48% per annum2.48% per annum

Assume that the COE price in January 2026 will not exceed the maximum COE price recorded in 2025.

  1. Based on the information given, determine which car Daniel can afford to purchase.
    Hence, calculate the total amount he needs to pay for the chosen car.
    Justify the decision you make and show your calculation clearly.[7]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \$5000 (nearest hundred). (b) \$75 000, or \$75 075.61 using unrounded salary. (c) Petrol car: estimated total \$271 407.84 using graph maxima \$122 000/\$137 000 and seven years; source scheme’s coarser readings give \$269 164.80.

Need help? Join our JC Math tuition classes.

Learn more