2/5 of the income of a person is spent over food, 1/3 towards loan. If the remaining amount is Rs. 3, 000 calculate his income.
1). 6, 000
2). 12, 000
3). 10, 000
4). 11, 250
Let the total income be denoted by Rs. X. According to the question:
$(\Rightarrow \frac{2}{5} \times X + \frac{1}{3} \times X + 3000 = X)$
$(\Rightarrow X - \frac{{11}}{{15}}X = 3000)$
$(\Rightarrow \frac{4}{{15}}X = 3000)$
⇒ X = Rs. 11, 250
Hence, the total income of the person is Rs. 11, 250.