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A cloth costs Rs. 675. If it is sold at a loss of 20%, what is its cost price as a percentage of its selling price? - Mathematics and Statistics

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Question

A cloth costs Rs. 675. If it is sold at a loss of 20%, what is its cost price as a percentage of its selling price?

Sum

Solution

C.P. = ₹ 675

Loss% = 20%

∴ Loss made in selling = `20/100 xx 675` = ₹ 135

S.P. = C.P. – Loss

= 675 – 135

= ₹ 540

Let C.P. be x % S.P.,

Then 675 = `"x"/100 xx 540`

∴ x = `(675 xx 100)/540`

= `5/4 xx 100 = 125`

∴ The cost price is 125% of the selling price.

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Profit and Loss
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Chapter 9: Commercial Mathematics - Exercise 9.2 [Page 127]

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