Question

Twenty identical articles are bought at $8$ for Rs. $48$ and all of them are sold at $5$ for Rs. $37.50$. Find the profit per cent made.

Answer 1

C.P. of $8$ article $=$ Rs. $48$.

C.P.of $1$ article $=$ $\frac{48}{8}=$ Rs. $6$

C.P. of $20$ article=$20\times 6=$ Rs. $120$

S.P of $5$ article $=$ Rs. $37.50$

S.P. of $1$ article $=$ $\frac{37.50}{5}=$ Rs. $7.50$

S.P. of $20$ article $=$ $20\times 7.50=$ Rs. $150$

Profit $=$ S.P $-$ C.P

$\Rightarrow 150-120=$ Rs. $30$

Profit Percentage $=$ $\frac{30}{120}\times 100=25$ $\%$