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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.
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.
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.