Multiple choice

A shopkeeper sold an article to a man at Rs 600 profit. Man increased its price by 60% and sold it to another person at a discount of 25%. Profit earned by Man is Rs 40 more than that of shopkeeper. Find cost price for shopkeeper?

  1. Rs 2600

  2. Rs 2500

  3. Rs 2750

  4. Rs 2400

  5. Rs 2250
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let shopkeeper's CP = x, so SP = x + 600. Man buys at x + 600, increases by 60% to get 1.6(x + 600), then gives 25% discount, so final SP = 0.75 × 1.6(x + 600) = 1.2x + 720. Man's profit = (1.2x + 720) - (x + 600) = 0.2x + 120. Given this equals shopkeeper's profit (600) plus 40, so 0.2x + 120 = 640, giving x = 2600. Option A matches this result.

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