Question

A man spends 4/5 of his monthly income on house rent, 1/2 on food and 1/5 on other items. He saves Rs. 400 in the end. What was his monthly income?

Answer 1

let monthly income is x
then...
4/5*x + 1/2*x + 1/5*x + 400 = x
now solve this equation for x
15/10* x + 400 = x

Answer 2

Answer:

Let, the monthly income of the person be ₹ x.

Now,

$\frac{4}{5} x + \frac{1}{2} x + \frac{1}{5} x = 400. \\ = > \frac{8 + 5 + 2}{10} x = 400. \\ = > \frac{15}{10} x = 400. \\ = > x = 400 \div \frac{15}{10} . \\ x = 400 \times \frac{10}{15} . \\ x = \frac{4000}{15} . \\ x = 266.67.$

Hence, the monthly income of the person is ₹266.67.