The marked price of a chair was ₹19,200. The shopkeeper was offering it for a discount of 20%, but on further bargaining agreed to offer a successive discount and finally sold the chair for ₹13,824. What was the second discount offered by the shopkeeper?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10%.
Marked Price (MP) = ₹19,200
First discount = 20%
Selling Price (SP) after two discounts = ₹13,824
Price after first discount = 19200 × (1 - 20/100) = 19200 × 0.8 = ₹15,360
Let second discount = x%
Price after second discount = 15360 × (1 - x/100) = 13,824
Solve for x
15360 × (1 - x/100) = 13824
1 - x/100 = 13824 / 15360 = 0.9
x/100 = 1 - 0.9 = 0.1
x = 10%