Question

Sagar spent 36 percent of his monthly income on rent, 25 percent of remaining on food and 15 percent of the remaining on clothes. If total monthly savings (after spending on rent, food and clothes) is ₹ 40800. Find the monthly income of Sagar.

1. ₹ 120000
2. ₹ 100000
3. ₹ 150000
4. ₹ 220000
5. ₹ 101000

Answer 1

Correct Answer - Option 2 : ₹ 100000

Given:

Monthly savings of Sagar = ₹ 40800

Formula used:

Percentage change = [(Initial value – Final value)/Initial value] × 100

Calculation:

Let the monthly income of Sagar = x

Amount left after spending on rent = x × (100 – 36)/100

⇒ x × 64/100 = x(16/25)

Amount left after spending on food = x(16/25) × (100 – 25)/100

⇒ x(16/25) × (75/100) = x(16/25) × (3/4)

Amount left after spending on clothes = x(16/25) × (3/4) × (100 – 15)/100

⇒ x(16/25) × (3/4) × (85/100) = x(16/25) × (3/4) × (17/20)

Sagar savings = x(16/25) × (3/4) × (17/20) = 40800

⇒ x[(3 × 17)/(25 × 5)] = 40800

⇒ x(51/125) = 40800

⇒ x = (40800 × 125)/51

⇒ x = 100000

∴ The monthly income of Sagar is ₹ 100000.