Question

A shopkeeper sells an article at loss of 5%.Had he been sold it for 35 more,he would have made a profit of 15%.Find cp

Answer 1

let the cost price of the article be 'x'

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loss = 5 % of cost price

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original selling price = cost price - loss

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s.p = x - 5% of x = x - 0.05x

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= 0.95x

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since , if he had sold the article ₹30 more than the original s.p , profit made = 15%

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so then

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cost price + profit = o.selling price + 35

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x + 15% of x = 0.95x + 35


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x + 0.15x = 0.95x + 35

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x + 0.15x - 0.95x = 35


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1.15x - 0.95x = 35

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0.2x = 35 => 2x ÷ 10 = 35

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2x = 350 => x = ₹175

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Answer: cost price = ₹175
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Answer 2

Let cost price is 100%
he sold on 5% loss means he sold article on 95%.
If he would have sold on 15%, he would make a total profit of 115% and this difference is due to 35rs more.
so 115%-95%=35 therefore 20% = 35
if 20% = 35 then 100% will be (35/20)×100= 175Rs
so cost price is 175rs.