Question

20 percent more can be gained if a piece of cloth is sold for Rs 83 instead of Rs 78. Find the cost price of the piece of cloth.

Answer 1

Let cost price of the cloth $C.P.=RsC$

For the first case,
Profit % $=\frac{S.P.1-C.P.}{C.P}\times 100=\frac{78-C}{C}\times 100$
For the second case,
Profit % $=\frac{S.P.2-C.P.}{C.P}\times 100=\frac{83-C}{C}\times 100$
Given, Profit % in second case $-$ Profit % in second case $=20$ %
So, $\frac{83-C}{C}\times 100-\frac{78-C}{C}\times 100=20$ %
$->\frac{83-C-78+C}{C}\times 100-20$
$=>C=Rs25$
Hence, cost price of the cloth $=Rs25$