Q. 193.9( 25 Votes )

Firojchacha got total Rs. 719.50 by selling a pant at 20% profit and shirt at 15% profit. If he would sell the pant at 25% profit and the shirt at 20% profit, then he would get Rs. 30.50 more. Let us calculate the cost prices of the pant and the shirt.

Answer :

Let the cost price of shirt be X


Let the cost price of Pant be Y


selling a pant at 20% profit and shirt at 15% profit.


We get ;


Y+ +X+ = = Rs. 719.5


24Y+23X = 14390


selling a pant at 25% profit and shirt at 20% profit.


We get ;


Y+ +X+ = = Rs. 719.5+Rs. 30.5 = Rs. 750


25Y+24X = 15000


Subtracting 2nd from 1st


25Y+24X–24Y–23X = 15000 – 14390


X + Y = 610


X = 610 – Y


Placing value of X in 2nd eq


25Y + 24(610 – Y) = 15000


Y = 15000 – 14640 = Rs. 360


X = 610 – 360 =Rs. 250


Cost price of pant is Rs. 360


Cost price of shirt is Rs. 250


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