Question

Rajan spent 10% of his salary on rent. He spent 20% of the remaining part of the salary on transport. After which he spent 40% of the balance of the salary on food. Further, he spent 80% of the balance on various bills. He deposits Rs. 5000 in the bank and kept the remaining Rs. 1480 for his own petty expenditure. Find his monthly salary (in Rs.)?
1. 64,800
2. 82,500
3. 80,888
4. 75,000

Answer 1

Correct Answer - Option 4 : 75,000

Given:

Salary spent on rent = 10%

Salary spent on transport of the balance = 20%

Salary spent on food of the balance = 40%

Salary spent on various bills of the balance = 80%

Money deposited in bank = Rs. 5000

Money kept for his own petty expenditure = Rs. 1480

Calculation:

Let total salary be Rs. 100x

Salary spent on rent = 10% of Rs. 100x

⇒ (100x × 10/100)

⇒ 10x

Remaining salary spent on transport = 20% of 90x

⇒ (20/100 × 90x)

⇒ 18x

Remaining salary spent on food = 40% of 72x

⇒ (40/100 × 72x)

⇒ 28.8x

Remaining salary spent on various bills = 80% of 43.2x

⇒ (80/100 × 43.2x)

⇒ 34.56x

Remaining salary = 100x – (10 + 18 + 28.8 + 34.56)x

⇒ (100 – 91.36)x

⇒ 8.64x

Money deposited in the bank and saved for his own petty expenditure = Rs. (5000 + 1480)

⇒ Rs. 6480

Now, as per the question,

⇒ 8.64x = Rs. 6480

⇒ 100x = (6480/8.64 × 100)

⇒ Rs. 75,000

∴ His monthly salary is Rs. 75,000