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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

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