Question

Aditi spends 30% of her salary on shopping, 15% on house rent, 5% on entertainment. Out of the remaining, she spends 10% on her conveyance and at the end of the month, she saves Rs. 45000. What is her salary per month?

1. Rs. 100000
2. Rs. 1000100
3. Rs. 1000000
4. Rs. 100100

Answer 1

Correct Answer - Option 1 : Rs. 100000

Given:

Money spent on house rent = 15%

Money spent on entertainment = 5%

Money spent on shopping = 30%

Money saved by Aditi = Rs. 45000

Concept Used:

Total income is always 100%.

Calculations:

Let the income of Aditi be Rs. x.

Money spent on house rent = 15%

Money spent on entertainment = 5%

Money spent on shopping = 30%

Total expenditure = (15 + 5 + 30)% = 50%

Now, total income = 100%

⇒ Remaining income = (100 - 50)% = 50%

Money spent on conveyance = 10% of 50%

⇒ Money saved by Aditi = (100 - 10)% of 50% of x = 90% of 50% of x

Money saved by Aditi = Rs. 45000

⇒ 90% of 50% of x = 45000

⇒ x = 45000 × (100/50) × (100/90)

⇒ x = Rs. 100000

∴ The salary of Aditi per month is Rs. 100000.