Multiple choice

Successive discounts of $\displaystyle12\frac{1}{2}\%$ and $\displaystyle7\frac{1}{2}\%$ are given on the marked price of the table. If the customer pays Rs 2590, then what is the marked price of the table?

  1. Rs 3,108

  2. Rs 3,148

  3. Rs 3,200

  4. Rs 3,600
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Discounts are 12.5% (1/8) and 7.5% (3/40). Remaining price = MP * (7/8) * (37/40) = 2590. MP * 259 / 320 = 2590. MP = 2590 * 320 / 259 = 3200.

AI explanation

Using the successive discount formula, the equivalent single selling price factor is the product of (1 minus 0.125) and (1 minus 0.075). This gives 0.875 multiplied by 0.925, which equals 0.859375. The marked price is the selling price divided by this factor, so 2590 divided by 0.859375 equals 3200. The result is Rs 3,200.

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