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.