Multiple choice

Hriday gives two successive discounts of 42% and 50% on his watch and gets Rs. 232 for it. Find its marked price.

  1. Rs. 275

  2. Rs. 825

  3. Rs. 750

  4. Rs. 800

  5. Rs. 850
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let MP be x. After 42% discount, price is 0.58x. After 50% discount, price is 0.5 * 0.58x = 0.29x. Given 0.29x = 232, x = 232 / 0.29 = 800.

AI explanation

The equivalent single discount for two successive discounts is found by the formula a plus b minus ab over 100. Substituting the values, the single discount is 42 plus 50 minus 2100 over 100, which equals 71 percent. Therefore, the selling price of Rs. 232 represents 29 percent of the marked price. The marked price is 232 divided by 0.29, which equals Rs. 800. The result is Rs. 800.

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