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Question
The net difference between selling a shirt at a profit of 10% and 15% is Rs.80. What are the selling prices?
Solution
Let the C.P. of the shirt be Rs. x
When sold at a profit of 10%, S.P.
= `(1 + 10/100)x`
= Rs.1.1x
When sold at a profit of 15%, S.P.
= `(1 + 15/100)x`
= Rs.1.15x
Difference between the two S.P.'s
= Rs.(1.15x - 1.10x)
= Rs.0.05x
ATQ, 0.05x = 80
⇒ x = `(80)/(0.05)`
= 1600
∴ C.P. of each shirt = Rs.1600
∴ S.P. of 1st shirt
= Rs.1.1 x 1600
= Rs.1760
∴ S.P. of 2nd shirt
= Rs.1.15 x 1600
= Rs.1840.
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