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The monthly income of a person is Rs. x. Out of the total income, he spends 25% on food. Of the remaining income, he spends 10% on movies and is left with an amount of Rs. 5400. What is the total monthly income of the man?

The monthly income of a person is Rs. x. Out of the total income, he spends 25% on food. Of the remaining income, he spends 10% on movies and is left with an amount of Rs. 5400. What is the total monthly income of the man? Correct Answer Rs. 8000

Given:

Total monthly income = Rs. x

Money spent on food = 25%

Money left after expenditure = Rs. 5400

Concept Used:

Total income is 100%.

Calculations:

Total monthly income = Rs. x

Money spent on food = 25% of x

Money left = (100 - 25)% of x 

⇒ Money left = 75% of x

Amount spent on movies = 10% of 75% of x

⇒ Amount left with the person = (100 - 10)% of 75% of x

⇒ Amount left with the person = 90% of 75% of x 

⇒  Amount left with the person = (90/100) × (75/100) × x = 27/40x

Money left after expenditure = Rs. 5400

⇒ 27/40x = 5400

⇒ x = 5400 × (40/27)

⇒ x = Rs. 8000

∴ The total monthly income of the person is Rs. 8000. 

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