Question

If the $C.P.$ of $50$ items is equal to $S.P.$ of $40$ items then what is the profit or loss $\%$?

• A. $20$% Loss
• B. $15$% Loss
• C. $25$% Gain
• D. $35$% Gain

Answer 1

Answer: (C)

$25$% Gain

Let the $C.P.$ of $1$ item $=\text{Rs}1$

As per the question $S.P.$ of $40$ of items $=\text{Rs}50$

$⟹S.P.$ of $1$ item $=\frac{50}{40}=\text{Rs}\frac{5}{4}$

So, $S.P.$ of each item is more than the $C.P.$

Hence, Gain $\%$ is given as

$Gain\left(\%\right)=\frac{S.P.-C.P.}{C.P}\times 100$

$=\frac{\frac{5}{4}-1}{1}\times 100$

$=\frac{1}{4}\times 100$

$=25\%$

$\therefore$ Profit is $25\%$