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Question

# P sold an article to Q at 20% profit. Q sold it to R at 25% profit. If the difference in the cost prices of Q and R is rs90, find the cost price of the article for P.

A
Rs270
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B
Rs360
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C
Rs300
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D
Rs250
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Solution

## The correct option is D Rs300P 20 % profit −−−−−−−−−−−→ Q 25 % profit−−−−−−−−−−−→ let C.P of P be Rsx∴ profit of P=Rs20x100S.P=Rs(x+20x100)=Rs120x100S.P. of P=C.P of Q.Profit of Q=Rs (120x100×25100)=Rs30x100∴S.P=Rs (120x100+30x100)=Rs150x100S.P of Q=C.P of R.Now , C.P of Q−C.P of R=−Rs 90Or, 120x100−150x100=−90Or , −30x100=−90⇒x=300∴C.P of P=Rs 300

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