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Question

# Jai Pal sells a shirt at a profit of 25 percent. Had he bought it at 25 percent less and sold it for Rs. 25 less he still would have gained 25 percent. The cost price of the shirt is

A
Rs. 50
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B
Rs. 75
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C
Rs. 80
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D
Rs. 100
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Solution

## The correct option is B Rs. 80Let the CP of the shirt =x in Rs.Then profit at 25%= x×25100=x4So the SP = x+x4=5x4In the second case, the CP & the SP are decreased by 25% & Rs. 25 respectively.So the new CP = x−x4=3x4 and the new SP = 5x4−25=5X−1004Then the new profit = 5x−1004−3x4=2x−1004∴ The profit percent = (2x−1004÷3x4)×100So, by the given condition, we have(2x−1004÷3x4)×100=25⇒2x−1003x=14⇒8x−400=3x⇒5x=400⇒x=80So the cost price of the shirt = Rs. 80

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