Question

The cash difference between selling a shirt at a profit of 10% and 15% is 10 rupees. What are the two selling prices?

Answer 1

Let the cost price of shirt be Rsx

Case no. 1(when Profit is 10%)

C.P = Rsx

S.P = C. P(100+P%)/100

= x(100+10)/100

=x * 110/100

= Rs 11x/10
Case no. 2(When profit is 15%)

S.P= C. P(100+P%)/100

= x(100+15)/100

= x*115/100
= Rs 21x/20
Difference between Case 1 and Case 2 = Rs10

11x/10 - 21x/20 = 10
(22x-20x) /20 = 10
2x= 10*20=200
x = 200/2=100
First selling price = 11*100/100=Rs 110
Second selling price = Rs 130.
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