A man spends 20% of his income in house rent, 25% of the remaining on

1.	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. 21002. 17003. 36004. 1400
Answer» 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

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. 21002. 17003. 36004. 1400

Answer» 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