Multiple choice

What price should a shopkeeper mark on an article costing him rupees $153$ to gain $20\%$ after allowing a discount of $15\%$

  1. Rs. $200$
  2. Rs. $216$
  3. Rs. $260$
  4. Rs. $280$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP be the marked price. SP = MP * (1 - 0.15) = 0.85 * MP. Profit = 20%, so SP = 1.20 * 153 = 183.6. 0.85 * MP = 183.6. MP = 183.6 / 0.85 = 216.

AI explanation

To gain 20% on a cost of Rs 153, the target selling price is 153 * 1.20 = Rs 183.6. Let the marked price be M; applying the discount formula, Selling Price = Marked Price * (1 - Discount), we get 183.6 = M * 0.85. Solving for M gives M = 183.6 / 0.85 = Rs 216.

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