A man spends one-quarter of his income on food, one-fifth of it on rent and remaining, which is ₹ 231, on other commodities. Find his total income.
(a)₹ 400
(b)₹ 410
(c)₹ 420
(d)₹ 460
Answer
Answer (as printed): C
Explanation
Let the total income be ₹ $x$. Then, remaining money $$=₹\left[x-\left(\frac{x}{4}+\frac{x}{5}\right)\right]=₹\left(x-\frac{9 x}{20}\right)=₹ \frac{11 x}{20} .$$ So, $\quad \frac{11 x}{20}=231 \Leftrightarrow x=\frac{231 \times 20}{11}=420$.
Explanation as extracted from the printed page; notation may be imperfect.