Multiple choice

Ajay marked the price of his goods 30% more than his C.P. He then sells 1/4th of his stock at a discount of 15%, and half of the stock at the marked price, and the rest at a discount of 30%. Find his gain percentage?

  1. 16.5%

  2. 13%

  3. 15.375%

  4. 14.20%

  5. 13.37%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. MP = 130. Stock = 4 units. Total CP = 400. 1st unit (1/4) sold at 15% discount: 130 * 0.85 = 110.5. 2nd and 3rd units (1/2) sold at MP: 2 * 130 = 260. 4th unit (1/4) sold at 30% discount: 130 * 0.7 = 91. Total SP = 110.5 + 260 + 91 = 461.5. Profit = 61.5 on 400. Profit % = (61.5/400) * 100 = 15.375%.

AI explanation

Assume the total stock is 4 units with a cost price of Rs. 100 per unit, making the total cost Rs. 400. The marked price per unit is Rs. 130. He sells 1 unit at a 15% discount for Rs. 110.50, 2 units at the marked price for Rs. 260, and 1 unit at a 30% discount for Rs. 91. The total selling price is 110.50 + 260 + 91 = Rs. 461.50. Using the profit percentage formula, the overall gain is ((461.50 - 400) / 400) * 100 = 15.375%.

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