Question

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. ₹ 40000
2. ₹ 50000
3. ₹ 60000
4. ₹ 70000
5. ₹ 80000

Answer 1

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.