Question

Monica spends $\frac{1}{3}$ of her salary on rent, $\frac{2}{5}$ on food and $\frac{1}{10}$ on monthly usuals. What fractional part of salary is left with herself ?

• A. $\frac{5}{6}$
• B. $\frac{1}{6}$
• C. $\mathrm{0.1666....}$
• D. (b) and (c) above.

Answer 1

The correct option is D (b) and (c) above.

$\text{Amount spent on rent}=\frac{1}{3}$

$\text{Amount spent on food}=\frac{2}{5}$

$\text{Amount spent on monthly usual}=\frac{1}{10}$

Fractional amount left $=1-(\frac{1}{3}+\frac{2}{5}+\frac{1}{10})$

Taking L.C.M of $(3,5,10)=30$

$=1-\left(\frac{10+12+3}{30}\right)$

$=1-\frac{25}{30}=\frac{30-25}{30}=\frac{5}{30}=\frac{1}{6}=\mathrm{0.1666...}$