What is the difference between a single discount of 35% on ₹700 and two successive discounts of 18% and 12% on the same amount (correct to two places of decimals)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. ₹50.12.
The price of the article after a single discount of 35% on Rs.700
⇒ 700 × 35/100 = Rs.245
Single discount of two successive discount = x + y +xy/100
⇒ -18 - 12 + 216/100 = -30 + 2.16 = 27.84%
The price of the article after a single discount of 29.7% on Rs.700
⇒ 700 × 27.84/100 = Rs.194.88
Required difference = 245 - 194.88 = Rs.50.12