1
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Question

# An article is sold at 10% profit . If its cost price and selling price are 50 less, the profit would be 5% more. Find the cost price?

A
40
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B
45
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C
60
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D
120
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E
150
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Solution

## The correct option is B 150let,C.P=xand gain%=10%S.P=(100+gain100)×C.P⇒S.P=110x100newC.P=C.P−50newS.P=S.P−50gain%=5%morethanprevious=15%⇒NewS.P=(100+gain100)×(NewC.P)⇒(S.P−50)=(100+15100)×(C.P−50)⇒(110x100−50)=115100×(x−50)⇒110x100−50=115x100−1152⇒1152−1002=115x100−110x100⇒152=5x100∴x=150

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