Question

By selling 50 pens, a shopkeeper lost an amount equal to the selling price of 10 pens. Find his loss percentage.

• A. $\frac{50}{3}$ $\%$
• B. $20\%$
• C. $\frac{40}{6}$$\%$
• D. None of these

Answer 1

The correct option is A

$\frac{50}{3}$ $\%$

Let selling price of 1 pen be ₹x
Selling price of 50 pens is ₹50x
Loss = Selling price of 10 pens = ₹10x
Loss = C.P – S.P
10x = C.P – 50x
C.P = ₹60x

$\text{Loss}\%=\frac{loss}{C.P}\times 100\%$
$=\left(\frac{10x}{60x}\right)\times 100\%$
$=\frac{50}{3}\%$