Multiple choice

A shopkeeper offered two successive discounts of 30% and 20% on the purchase of a shirt to Raj and a one-time discount of 50% on the purchase of the same shirt to Sahil. If the marked price of the shirt was Rs. 1500, then what was the absolute difference between the amounts paid by Raj and Sahil for purchasing the shirt?

  1. 75

  2. 90

  3. 50

  4. 110

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Raj's price: 1500 * 0.7 * 0.8 = 840. Sahil's price: 1500 * 0.5 = 750. Difference = 840 - 750 = 90.

AI explanation

Using the formula for equivalent single discount for two successive discounts of a% and b%, which is (a + b - ab/100)%, the equivalent discount for 30% and 20% is 30 + 20 - 600/100 = 44%. Raj pays 1500 less 44% of 1500, which equals 1500 less 660, or 840. Sahil pays 1500 less 50% of 1500, which equals 750. The absolute difference between the amounts paid is 840 less 750, which equals 90.

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