Multiple choice

A and B, there are two companies, selling the packs of cold-drinks. For the same selling price, A gives two successive discounts of 10% and 25%. While B sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?

  1. 143: 144

  2. 19: 11

  3. 136: 135

  4. 73: 77

  5. 77: 73
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let MP be the marked price. Effective discount for A: 1 - (0.9 * 0.75) = 1 - 0.675 = 0.325. Effective discount for B: 1 - (0.85 * 0.8) = 1 - 0.68 = 0.32. Selling prices are equal: MP_A * 0.675 = MP_B * 0.68. Ratio MP_A/MP_B = 0.68/0.675 = 680/675 = 136/135.

AI explanation

Let the selling price be S and marked prices be A and B. For company A, S = A * 0.90 * 0.75 = 0.675A. For company B, S = B * 0.85 * 0.80 = 0.68B. Equating the selling prices gives 0.675A = 0.68B. The ratio of marked prices A to B is 680 to 675, which simplifies to 136 to 135.

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