Multiple choice

A shopkeeper gives a discount of 10% on marked price of every shirt and when he sells 12 shirts he gives one shirt free. What is the approximate real rate of discount offered by shopkeeper?

  1. 15%

  2. 17%

  3. 19%

  4. 21%

  5. 23%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Discount = 10% on 12 shirts = 1.2 shirts worth. Plus 1 free shirt = 2.2 shirts free out of 13. Discount % = (2.2 / 13) * 100 = 16.92%, which is approximately 17%.

AI explanation

Assume the marked price of one shirt is Rs. 100, making the discounted price Rs. 90 due to the initial 10% discount. For 12 shirts, the base cost is 12 * 90 = Rs. 1080, but since one shirt is given free, the customer receives 13 shirts for Rs. 1080, making the effective price per shirt Rs. 83.07. Using the discount formula, (Marked Price - Effective Price) / Marked Price * 100 yields (100 - 83.07) / 100 * 100, resulting in an approximate real rate of discount of 17%.

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