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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 150
let,C.P=x
and gain%=10%
S.P=(100+gain100)×C.PS.P=110x100
newC.P=C.P50
newS.P=S.P50
gain%=5%morethanprevious=15%
NewS.P=(100+gain100)×(NewC.P)
(S.P50)=(100+15100)×(C.P50)
(110x10050)=115100×(x50)
110x10050=115x1001152
11521002=115x100110x100
152=5x100
x=150

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