Question

The printed price of a book is Rs.320. A retailer pays Rs.244.80 for it. He gets successive discounts of 10% and another rate. what is the second rate?

Answer 1

M.P. of the book = Rs.320
S.P. of the book = Rs.244.80
Let the second rate of discount be D
S.P. = `(1 - "D"_1/100)(1 - "D"_2/100)"M.P."`

⇒ 244.80 = `(1 - 10/100)(1 - "D"/100)320`

⇒ 244.80 = `(90)/(100) xx (1 - "D"/100) xx 320`

⇒ `(1 - "D"/100) = (244.80 xx 100)/(90 xx 320)` = 0.85

⇒ `"D"/(100)`
= 1 - 0.85
= 0.15
⇒ D = 15%
∴ The second rate is 15%.