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Question
A shopkeeper allows 10% discount on his article. What price must he mark on an article, which costs him Rs. 750, to make a profit of 20% ?
A shopkeeper allows 10% discount on his article. What price must he mark on an article, which costs him Rs. 750, to make a profit of 20% ?
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Solution
The correct option is C Rs. 1,000
Given, C.P. of the article =Rs750
Let Marked Price M.P.=Rsx
Since, he gives 10 % of discount,
Selling price, S.P.=90 % of x=0.9x
Hence,
for required Profit on the whole % =S.P.−C.P.C.P.×100=20
0.9x−750750×100=20
=>0.9x−750=150
=>0.9x=Rs900
=>x=Rs1,000
So, the shopkeeper should mark up the price as Rs1,000
Given, C.P. of the article =Rs750
Let Marked Price M.P.=Rsx
Since, he gives 10 % of discount,
Selling price, S.P.=90 % of x=0.9x
Hence, for required Profit on the whole % =S.P.−C.P.C.P.×100=20
0.9x−750750×100=20
=>0.9x−750=150
=>0.9x=Rs900
=>x=Rs1,000
So, the shopkeeper should mark up the price as Rs1,000
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