Ajay spent 36% of his monthly salary on rent, 40% of his remaining sal

1.	Ajay spent 36% of his monthly salary on rent, 40% of his remaining salary on bills, and 2/3 of the remaining on traveling. If the monthly savings of Ajay is ₹ 6400. Find the monthly income of Ajay.1. ₹ 400002. ₹ 500003. ₹ 600004. ₹ 700005. ₹ 80000
Answer» Correct Answer - Option 2 : ₹ 50000 Given: Monthly savings of Ajay = ₹ 6400 Concept used: Savings percentage = (100 – Expense in percentage)/100 Calculation: Let the monthly income be x Expenses on rent = (36/100) × x ⇒ Remaining salary after expenses on rent = {(100 – 36)/100} × x Expenses on bills = {64/100} × (40/100) × x ⇒ Remaining salary after expenses on bills = {64/100} × {(100 – 40)/100} × x Expenses on travelling = (2/3) × {64/100} × {60/100} × x ⇒ Remaining salary after expenses on travelling = {(1 – 2)/3} × {64/100} × {60/100} × x ⇒ Monthly savings in terms of x = {1/3} × {64/100} × {60/100} × x ----(1) Actual monthly savings = 6400 ----(2) Equating equation (1) and (2) ⇒ (1/3) × (64/100) × (60/100) × x = 6400 ⇒ x = 50000 ∴ The monthly income of Ajay is ₹ 50000.

Ajay spent 36% of his monthly salary on rent, 40% of his remaining salary on bills, and 2/3 of the remaining on traveling. If the monthly savings of Ajay is ₹ 6400. Find the monthly income of Ajay.1. ₹ 400002. ₹ 500003. ₹ 600004. ₹ 700005. ₹ 80000

Answer» Correct Answer - Option 2 : ₹ 50000

Given:

Monthly savings of Ajay = ₹ 6400

Concept used:

Savings percentage = (100 – Expense in percentage)/100

Calculation:

Let the monthly income be x

Expenses on rent = (36/100) × x

⇒ Remaining salary after expenses on rent = {(100 – 36)/100} × x

Expenses on bills = {64/100} × (40/100) × x

⇒ Remaining salary after expenses on bills = {64/100} × {(100 – 40)/100} × x

Expenses on travelling = (2/3) × {64/100} × {60/100} × x

⇒ Remaining salary after expenses on travelling = {(1 – 2)/3} × {64/100} × {60/100} × x

⇒ Monthly savings in terms of x = {1/3} × {64/100} × {60/100} × x ----(1)

Actual monthly savings = 6400 ----(2)

Equating equation (1) and (2)

⇒ (1/3) × (64/100) × (60/100) × x = 6400

⇒ x = 50000

∴ The monthly income of Ajay is ₹ 50000.