# Himanshu disbursed his monthly salary 20% on clothes, 15% on food and 40% of the remaining on home rent. He left with Rs. 3900 after all expenses then

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Himanshu disbursed his monthly salary 20% on clothes, 15% on food and 40% of the remaining on home rent. He left with Rs. 3900 after all expenses then find how much he earned in one month?
1. Rs. 10000
2. Rs. 12000
3. Rs. 15500
4. Rs. 10500
5. None of these

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Correct Answer - Option 1 : Rs. 10000

Given

Remaining amount after all expenses = Rs. 3900

Formula Used

Percentage = (Actual/Total) × 100

Calculation

Let the monthly salary of himanshu be 100x

Himanshu spend on clothes = 20% of 100x = 20x

On food = 15% of 100x = 15x

Remaining = 100x - (20x + 15x) = 65x

Spend on rent = 40% of 65x = 26x

so, total expenses of Himanshu = 35x + 26x = 61x

Remaining amount after all expenses = 3900

⇒ 100x - 61x = 3900

⇒ x = 100

⇒ 100x = 10000

∴ The Himanshu earned in the month is Rs. 10000