In one shop, an article is marked 75% above the cost price but the purchaser is allowed a discount of 20% on the marked price. In another shop, a similar article is sold for Rs.58 at a gain of 45%. What did the purchased pay for this article in the first shop?
Rs.62
Rs.56
Rs.69
Rs.65
A
Rs.62
B
Rs.65
C
Rs.69
D
Rs.56
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Solution
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Let Marked price be M.P , Cost Price be C.P , Selling Price be S.P, Profit percent be P and discount percent be d.
Given,
In Shop 1
M.P=C.P+75100×C.P
M.P=175×C.P100
d=20%
In Shop 2
SellingPrice=Rs58 and gain=45%
S.P=(1+P100)×C.P
58=(1+45100)×C.P
C.P=40
Substituting C.P in shop 1
M.P=175100×40
M.P=70
M.P×(1−d100)=S.P
S.P=70×(1−20100)
S.P=56
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Q1
In one shop, an article is marked 75% above the cost price but the purchaser is allowed a discount of 20% on the marked price. In another shop, a similar article is sold for Rs.58 at a gain of 45%. What did the purchased pay for this article in the first shop?
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Q2
A shop keeper buys an article for Rs 600 and marks 25% above the cost price. Find (i) the selling price if he sells the article at 10% discount; (ii) the percentage of discount if it is sold for Rs 960.