2025 · Q60
Consider the following Assertion and Reason: Assertion: 15% discount on the marked price of an item is more than the subsequent (successive) discount of 10% and 5% on the marked price of the same item. Reason: A subsequent (successive) discount is on the discounted amount. Which one of the following is correct with regard to the above Assertion and Reason?
General Mental Ability, Quantitative Aptitude and StatisticsProfit, loss and discount
- ABoth the assertion and the reason are individually true and the reason is a correct explanation of the assertion.
- BBoth the assertion and the reason are individually true, but the reason is not a correct explanation of the assertion.
- CAssertion is true, but Reason is false.
- DAssertion is false, but Reason is true.
Explanation
Successive discounts of 10% and 5% give an effective discount of 10 + 5 - (10x5)/100 = 14.5%, which is less than a flat 15%, so the assertion is true. The reason is also true, and it correctly explains the assertion, because the second discount applies to the already-discounted amount rather than the marked price.