Question
Eva sold a camera after giving a discount of 20% and
made a profit of 55%. Had she given a discount of 10%, she would have earned Rs. 60 more. Find the selling price of the camera if Eva wants to earn a profit of 165%.Solution
ATQ, Let the marked price (MP) of the camera be Rs. 100v. Selling price (SP) after a 20% discount = 80% of MP = 0.80 × 100v = Rs. 80v. Cost price (CP) = SP at 55% profit = 80v / 1.55 = Rs. 51.61v. With a 10% discount, SP would have been 90% of MP = 0.90 × 100v. The difference in SP = (0.90 × 100v) – 80v = 60 → 10v = 60 → v = 6. Desired SP with a 165% profit = 2.65 × CP = 2.65 × 51.61v = 2.65 × 51.61 × 6 = Rs.821.31
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