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.
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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