An article listed at Rs.65 was bought for Rs.56.16 after two successive discounts, of which, the first is 10%. What is the second discount?

Correct option is A

Given:
Marked price = Rs.65, First discount = 10%, Final price = Rs.56.16
Formula Used:
Final price after successive discounts = Marked price × (1 - first discount) × (1 - second discount)
Solution:
Price after the first discount of 10%.
Price after first discount = Rs.65 × (1 - 0.10) = Rs.65 × 0.90 = Rs.58.50

Let the second discount be x%.
After applying the second discount, the price becomes Rs.56.16. Therefore:
Rs.58.50 × (1 - x/100) = Rs.56.16
(1 - x/100) = 56.16 / 58.50
(1 - x/100) = 0.96
x/100 = 0.04
x = 4%
Thus, the second discount is 4%.