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प्रश्न
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?
उत्तर
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%.
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