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Question
The printed price of a shirt is Rs. 390. Lokesh pays Rs. 175.50 for it after getting two successive discounts. If the first discount is 10%, find the second discount.
Solution
Marked price = ₹ 390
After the first discount of 10%, the price of the shirt
= `390 - 10/100(390)`
= `390(1 - 1/10)`
= `390(9/10)`
Let the second discount be x %. Then
`390(9/10)(1 - "x"/100) = 175.5` .....[Given that Lokesh bought the shirt for ₹ 175.50]
∴ `1 - "x"/100 = (175.5 xx 10)/(390 xx 9)`
= `(19.5 xx 10)/390`
= `195/390`
= `1/2`
∴ `"x"/100 = 1 - 1/2 = 1/2`
∴ x = 50
∴ The second discount is 50%
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