Multiple choice

A person bought 50 pens for Rs. 50 each. He sold 40 of them at a loss of 5%. He wants to gain 10% on the whole. Then his gain percent on the remaining pens should be

  1. 15%

  2. 40%

  3. 50%

  4. 70%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total CP = 50 * 50 = 2500. Target profit = 10% of 2500 = 250. Total SP needed = 2750. SP of 40 pens at 5% loss: CP = 40 * 50 = 2000. Loss = 5% of 2000 = 100. SP = 1900. Remaining SP needed = 2750 - 1900 = 850. Remaining CP = 10 * 50 = 500. Profit on remaining = 850 - 500 = 350. Profit % = (350 / 500) * 100 = 70%.

AI explanation

The total cost price for the 50 pens is 50 times 50, which is Rs. 2500. To gain 10 percent on the whole, the total required selling price is 1.10 times 2500, which equals Rs. 2750. He sells 40 pens at a 5 percent loss, so the selling price for these 40 pens is 0.95 times the cost of 40 pens, equalling 0.95 times 2000, which is Rs. 1900. The remaining 10 pens must sell for 2750 minus 1900, which is Rs. 850. Their cost price is 10 times 50, which is Rs. 500. The gain on these remaining pens is 850 minus 500, which equals Rs. 350. The required gain percent on the remaining pens is (350 / 500) times 100, which is 70 percent.

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