Question

The difference between two selling prices of a shirt at profits of $4\%$ and $5\%$ is Rs. 6. Find

(i) C.P of the shirt

(ii) The two selling prices of the shirt

Answer 1

The difference of two selling prices of shirt = Rs. 6
Difference in profits of $4\%$ and $5\%$ = 5-4 = $1\%$
(i) $\therefore$ C.P $=1\times 6\times 100=Rs.600$

(ii) Now first S.P $=\frac{C.P\times (100+Profit\%)}{100}$
$=\frac{600\times (100+4)}{100}=\frac{600\times 104}{100}=Rs.624$
and second S.P of the shirt $=600\times \frac{100+5}{100}$
$=600\times \frac{105}{100}=Rs.630$