Multiple choice

The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on both is 30%, then the discount offered on trousers is

  1. 15%

  2. 20%

  3. 25%

  4. 30%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the marked price of the shirt be S and trousers be 2S. Total MP is 3S. Total discount is 30% of 3S = 0.9S. Discount on shirt is 40% of S = 0.4S. Discount on trousers = 0.9S - 0.4S = 0.5S. Percentage discount on trousers = (0.5S / 2S) * 100 = 25%.

AI explanation

Let the marked price of the shirt and trousers be 100 and 200 respectively, making the total marked price 300. The discount on the shirt is 40, and the total discount on both items is 30% of 300, which equals 90. This means the discount amount on the trousers is 90 minus 40, or 50. Therefore, the discount percentage on the trousers is (50 / 200) * 100, which equals 25%.

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