Question

Two successive discounts of 10% and 5% are equivalent to a single discount of

• A. 18.5%
• B. 26.5%
• C. 14.5%
• D. None of these

Hint:

To calculate successive discounts, multiply the remaining amount after each discount, rather than adding them directly.

Answer 1

The Correct Option is C

Let the original price of the article be \( P \). The first discount of 10% reduces the price to \( 0.9P \). A subsequent 5% discount further reduces this price to \( 0.95 \times 0.9P = 0.855P \). Hence, the overall discount is: \[ \text{Overall Discount} = P - 0.855P = 0.145P \] This corresponds to a 14.5% discount.
Thus, the correct answer is (c) 14.5%.