Question

Out of his total income Hamza spends 20% on the house rent and 70% of the rest on the household expenditure. If he saves Rs. 1800, what is his total income?

Answer 1

Hamza's total income is Rs. 7500

Explanation:

Here we have 20% of income spent on rent

70% of the rest spent om household expenditure

We take the balance as Rs. 1800, therefore, we have

Therefore, we have 70% of (100 - 20) or 70% × 80% = 0.7×0.8 spent on household expenditure

Which is 0.56 or 56% spent on household expenditure

Therefore total percentage spent is 20+56 = 76%

balance percentage left is 24%

∴Amount saved is 24% which is Rs. 1800

Therefore we have 24% of Hamza's total income = Rs. 1800

Hamza's total income is therefore Rs. 1800 × 100/24 = Rs. 7500.

Answer 2

7,500

Explanation:

Let's call the total income of Hamza by 'X'.

First he spends 20% of his income, so the remaining value is:

X - 20% of X = X - 0.2X = 0.8X

Then, he spends 70% of the rest, so he spends 70% of 0.8X:

0.8X - 70% of 0.8X = 0.8X - 0.7*0.8X = 0.8X - 0.56X = 0.24X

If this remaining is equal to 1800, we have that:

0.24X = 1800

X = 1800/0.24 = 7500

His total income is 7,500.