an article was sold at 20%loss.had this article been sold for rs 112 more there would be a profit of 8% find the cost price of the article
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Assume the cost of article is x
the person sold at 20% loss
Loss % =
C.P
C.P−S.P
=
x
x−S.P
=
100
20
∴ S.P =0.8 x
If he had sold it for Rs. 12 more, then he would have gained 10%.
Gain % =
C.P
S.P−C.P
=
x
(0.8x+12)−x
=
100/
10
∴12−0.2x=0.1x
∴12=0.3x
∴x=40
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