**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

**Solution:**

$L$ 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