Question

The cost price of $9$ articles is equal to the selling price of $11$ articles. Then the loss percentage is

• A. $18\frac{2}{11}$%
• B. $2\frac{9}{11}$%
• C. $15\frac{1}{2}$%
• D. $16\frac{1}{2}$%

Answer 1

Answer: (A)

$18\frac{2}{11}$%

Let CP of 9 articles = SP of 11 articles = Re 1
$\therefore$ CP of 1 article = Re. $\frac{1}{9}$
SP of 1 article = Re. $\frac{1}{11}$
$\therefore Loss=Re\left(\frac{1}{9}-\frac{1}{11}\right)=\frac{2}{99}$ and
Loss % = $\frac{Loss}{CP}\times 100$
$\Rightarrow \frac{\frac{2}{99}}{\frac{1}{9}}\times 100=18\frac{2}{11}$%