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
$L$ et the C.P of both the shirts be Rs. $x$.
C. $\mathrm{P}=$ Rs. $x$
For shirt 1 :
Profit is $4 \%$ :
Profit $\%=\frac{\text { Profit }}{\text { CP }} \times 100$
Profit $=\frac{4}{100} \times$ C.P
$=$ Rs. $0.04 x$
S.P $=$ C.P $+$ Profit
$=x+0.04 x$
$=$ Rs. $1.04 x$
For shirt 2 :
Profit $=5 \%$ :
C.P $=$ Rs. $x$
Profit $=\frac{5}{100} \times$ C.P
$=$ Rs. $0.05 x$
S. $\mathrm{P}=$ C.P $+$ Profit
$=x+0.05 x$
$=$ Rs. $1.05 x$
It is given that the difference between the $i r$ profit $s$ is Rs. 6
So, $1.05 x-1.04 x=6$
$0.01 x=6$
$x=$ Rs. 600
Thus, C.P $=$ Rs. 600
S. P of shirt $1=$ Rs. $1.04 x$
$=$ Rs. $1.04 \times 600$
$=$ Rs. 624
S. P of shirt $2=$ Rs. $1.05 x$
$=$ Rs. $1.05 \times 600$
$=$ Rs. 630