Question

Karim sold a shirt at a loss of $10\%$. Had he sold it for Rs. $60$ more he would have gained $5\%$ on it. Find the cost price of the shirt.

Answer 1

Loss $=10\%$ , if Selling Price was $60$ more Profit $=5\%$

Case 1 : $S{P}_1=CP-\frac{10}{100}\times CP$

$=\frac{90}{100}\times CP$

Case 2 : $S{P}_2=S{P}_2+60$

$S{P}_2=CP+\frac{5}{100}\times CP$

$=\frac{105}{100}CP=S{P}_1+60CP$

but $S{P}_1=\frac{90}{100}$

$⟹\frac{15}{100}CP=60$

$⟹CP=400$

$\therefore$ the Cost Price is Rs $400$