Question

A man's salary is reduced by $10\%$. In order to have his salary back to the original amount, it must be raised by

• A. $8\%$
• B. $10\%$
• C. $11\frac{1}{9}\%$
• D. $12\frac{3}{7}\%$

Answer 1

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

Let the original amount be Rs. $x$

Let the reduced salary be raised by $y\%$

$\therefore x=\frac{9x}{10}\times (1+\frac{y}{100})$

$\therefore y=\frac{100}{9}=11\frac{1}{9}$