Multiple choice

A shopkeeper sells an article at a loss of 5%. When the selling price of the article is increased by Rs. 65, he gains 3.33% on the cost price. What will be the profit percentage if the shopkeeper sells the same article for Rs. 936?

  1. 20%

  2. 24%

  3. 28%

  4. 30%

  5. 32%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Loss 5% means SP = 0.95 * CP. Gain 3.33% (1/30) means SP + 65 = 1.0333 * CP. 1.0333 * CP - 0.95 * CP = 65 => 0.0833 * CP = 65 => CP = 65 / 0.0833 = 780. Selling for 936: Profit = 936 - 780 = 156. Profit % = (156/780) * 100 = 20%.

AI explanation

The difference between a 3.33% gain and a 5% loss is an 8.33% change in the cost price, which equals the price increase of Rs. 65. Since 8.33% is exactly one-twelfth, the cost price is 65 multiplied by 12, which gives Rs. 780. Selling the article for Rs. 936 yields a profit of 156, and calculating this as a percentage gives (156 divided by 780) multiplied by 100, resulting in a 20% profit. The correct option is A.

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