Question

Mariyam bought some Black Pencils at the rate of $Rs.5$ per $9$ pencils and an equal number of coloured pencils at the rate of $Rs.5$ per $11$ pencils. If she sold all the pencils at the rate of $Rs.5$ per $10$ pencils, the gain or loss percent is

• A. No gain no loss
• B. gain $1\%$
• C. loss $10\%$
• D. loss $1\%$

Answer 1

Answer: (D)

loss $1\%$

Cost of $1$ black pencil $=\frac{5}{9}$
Cost of $1$ coloured pencil $=\frac{5}{11}$
Total cost of $1$ black and $1$ colured pencil $=\frac{5}{9};\frac{5}{11}=\frac{55+45}{99}=\frac{100}{99}$
$SP$ of $2$ pencil $=\frac{5}{10}\times 2=1$
Loss $\%=\frac{\frac{100}{99}-1}{\frac{100}{99}}\times 100=\frac{1}{99}\times \frac{99}{100}\times 100$
$=1\%$