Q. A shopkeeper offers two consecutive discounts—first 10% and subsequently 5% on a certain item. The equivalent discount offered on the item is
(ADRE 2024)
(A) 12·5%
(B) 15%
(C) 13%
(D) 14·5%
Ans:- (D) 14·5%
Solution:-
Let’s assume the original price of the item is Rs. 100.
First discount: 10% of 100 = Rs. 10 Price after the first discount = 100 – 10 = Rs. 90
Second discount: 5% of 90 = Rs. 4.5 Final price after both discounts = 90 – 4.5 = Rs. 85.5
Total discount: 100 – 85.5 = Rs. 14.5
Equivalent discount percentage: (14.5/100) × 100 = 14.5%
Therefore, the equivalent discount offered on the item is 14.5%.