JAMB 2014 Mathematics · Question 9

A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

Options

A.N53,000
B.N52,000
C.N51,000
D.N50,000

Answer: C. N51,000

Explanation written with AI and checked against the answer key

Analyze the question: The woman bought a grinder at a cost price (CP) of N60,000 and sold it at a 15% loss. We need the selling price (SP). Concept: When an item is sold at a loss, the selling price is less than the cost price: SP = CP − Loss Loss = (Loss % ÷ 100) × CP Or directly: SP = (100 − Loss%)% × CP Solution: Step 1: Find the loss. Loss = 15/100 × 60,000 = N9,000 Step 2: Subtract the loss from the cost price. SP = 60,000 − 9,000 = N51,000 Check using the shortcut: SP = 85% × 60,000 = 0.85 × 60,000 = N51,000 ✔ Answer: The selling price is N51,000, which is option C. Tip: For loss questions, use (100 − loss%) as a multiplier. For profit questions, use (100 + profit%). Here, 85% of the cost price gives the answer in one step. Always take the percentage of the cost price unless the question says otherwise.

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