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a person  sell branded shirts each at rs 1134 after giving discount pof 19% on the market price price .had he not given the discount he would have earned a profit of 40% on the cost price .what is his profit % after the discount is given

a.15 %       b.13.40%

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Answer is b) 13.4 %

Given: 

SP = 1134

discount = 19 %

The key point here is that discount is always given on marked price (MP) but luckily the question mentions that.

Let the MP be x

So, SP = MP - discount

     1134 = x - $\frac{19}{100}$ x

     x = 1400 i.e. marked price = 1400

The question says had he not given the discount he would have earned a profit of 40% on the cost price. So had he not given the discount, the CP would be same as MP.

So we now have, CP = 1400 and profit = 40 %

$\therefore$ SP = CP + Profit = CP + $\frac{40}{100}$ CP   (Profit/Loss is always calculated on CP)

$\therefore$ CP = 1000 and given that SP = 1134

%Profit = $\frac{1134 - 1000}{1000}$ * 100 = 13.4

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