Multiple choice

There are two shops, A and B. Shop A gives successive discounts of 60% and 40%, whereas shop B gives successive discounts of 30% and 70%. If the selling price of an article is the same in both the shops, then what is the ratio of marked prices of the article in the two shops?

  1. 3 : 4

  2. 7 : 8

  3. 1 : 2

  4. 1 : 1

  5. 7 : 6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Shop A price = MP_A * 0.4 * 0.6 = 0.24 * MP_A. Shop B price = MP_B * 0.7 * 0.3 = 0.21 * MP_B. Setting them equal: 0.24 * MP_A = 0.21 * MP_B, so MP_A / MP_B = 0.21 / 0.24 = 21/24 = 7/8.

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