Question

A dealer buys an article for ₹1140. At what price must he mark it so that after allowing a discount of 5%he still gains 25%?

Answer 1

let the market price be '₹x '

cost price of article = ₹ 1140

gain = 25 %

Find the gain :
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gain = 25 % of C.P = 25 % of 1140

= 0.25 × 1140 = ₹ 285

Find the selling price :
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S.P = C.P + gain = 1140 + 285 = ₹ 1425

discount allowed = 5 % of market price

= 5 % of x = ₹0.05 x

market price - discount = selling price

x - 0.05 x = 1425

0.95x = 1425 => 95x = 142500

x = ₹ 1500

therefore,he must mark the article at ₹1500 to get the required gain.

Answer :
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the required marked price = ₹1500

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