A SHOPKEEPER MARKS HIS GOODS 25/ ABOVE the cost price and allows a discount of 12/ on them. what percent does he gain
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let the cost price be ' 'x'
marked 25 % above the cost price,
market price = x + 25 % of x
= x + 0.25 x = x(1 + 0.25 ) = 1.25 x
discount allowed = 12 % of 1.25x
= 0.12 × 1.25x = 0.15 x
selling price = marked price - discount allowed
selling price = 1.25 x - 0.15x = 1.1 x
gain = selling price - cost price = 1.1x - x = 0.1 x
gain% = gain /cost price × 100
= 0.1 x / x × 100 = 10
therefore, gain = 10%
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Your Answer : gain 10 %
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marked 25 % above the cost price,
market price = x + 25 % of x
= x + 0.25 x = x(1 + 0.25 ) = 1.25 x
discount allowed = 12 % of 1.25x
= 0.12 × 1.25x = 0.15 x
selling price = marked price - discount allowed
selling price = 1.25 x - 0.15x = 1.1 x
gain = selling price - cost price = 1.1x - x = 0.1 x
gain% = gain /cost price × 100
= 0.1 x / x × 100 = 10
therefore, gain = 10%
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Your Answer : gain 10 %
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