Question

A man spends 20% of his income in house rent, 25% of the remaining on children education and 10% of the remaining on transportation. If he spent Rs. 1,080 on transportation, he spent in house rent (In Rs.)
1. 2100
2. 1700
3. 3600
4. 1400

Answer 1

Correct Answer - Option 3 : 3600

Given: Man Spent in house rent = 20% of income

Children education = 25% of remaining (after deduction of house rent)

Transportation = 10% of remaining (after deduction of house rent + transportation) = 1080

Let, Income of man = X

⇒ Expenditure in house rent = 20% of X = 0.2X

⇒ Balance left after house rent = X – 0.2X = 0.8X

⇒ Expenditure on children education = 25% of 0.8X = 0.2X

⇒ Balance left after children education = 0.8X – 0.2X = 0.6X

⇒ Expenditure on transportation = 10% of 0.6X = 0.06X

∴ 0.06X = 1080

∴ X = 1080/0.06 = 108000/6 = 18000

∴ 0.2X = 0.2 × 18000 = 3600

Therefore, expenditure on house rent = Rs. 3600

Shortcut Trick:

Let, Income of man = 100

Expenditure in house rent = 20, Balance left = 80

Expenditure on children education = 20, Balance left = 60

Expenditure on transportation = 6

∵ 6 = 1080

∴ 1 = 1080/6 = 180

∴ 100 = 18,000

∴ 20 = 180 × 20 = 3,600