Question

A dishonest dealer uses a scale of $90$ cm instead of a meter scale and claims to sell at cost price. His profit is

• A. $9\%$
• B. $10\%$
• C. $10\frac{9}{11}$ $\%$
• D. $11\frac{1}{9}$ $\%$

Answer 1

The correct option is D $11\frac{1}{9}$ $\%$

Let the cost price of the cloth be Rs. $100$ per metre i.e. Rs. $1$ per cm
Since the shopkeeper uses $90$ cm scale for $100$ cm scale.
His gain $=$ Cost of $10$ cm $=$ Rs. $10$
Gain $\%=$ $\frac{10}{90}\times 100$

$=\frac{100}{9}\%$

$=11\frac{1}{9}\%$