Multiple choice

The marked price of a trouser is Rs. 3510. The shopkeeper allows a discount of 40% and gains 17%. If no discount is allowed, then what will be the profit percentage?

  1. 63.8%

  2. 95%

  3. 85%

  4. 74.6%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP = 3510. SP = 3510 * 0.6 = 2106. Since gain is 17%, CP = 2106 / 1.17 = 1800. If no discount, SP = 3510. Profit = 3510 - 1800 = 1710. Profit % = (1710 / 1800) * 100 = 95%.

AI explanation

The selling price after a 40% discount on the marked price of Rs. 3510 is 60% of 3510, equalling Rs. 2106. Using the formula for cost price based on selling price and profit percentage, Cost Price equals Selling Price divided by (100 + Profit Percentage) multiplied by 100. Therefore, the cost price is 2106 divided by 1.17, which gives Rs. 1800. If no discount is allowed, the new selling price is the marked price of Rs. 3510, and applying the profit percentage formula gives (3510 - 1800) / 1800 * 100, resulting in a profit of 95%.

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