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A men spend 1/3 of his income on food,1/4 of the rest on rent and 1/5 of the rest on clothes. He still has Rs.1760 left with him. Find his income?
  • a)
    4400
  • b)
    4200
  • c)
    4800
  • d)
    5200
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A men spend 1/3 of his income on food,1/4 of the rest on rent and 1/5 ...
Let total amount be x
Amount spent on food = x/3
Amount left = 2x/3
Amount spent on rent = 
Amount left = 6x/12
Amount spent on cloth = 
Therefore,

∴ x = 4400
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Most Upvoted Answer
A men spend 1/3 of his income on food,1/4 of the rest on rent and 1/5 ...
Given:
A man spends 1/3 of his income on food.
1/4 of the remaining on rent.
1/5 of the remaining on clothes.
He still has Rs. 1760 left.

To find:
His income

Solution:
Let's assume his income to be 'x'

1. He spends 1/3 of his income on food.
The amount spent on food = (1/3) * x

The remaining amount = x - (1/3) * x = (2/3) * x

2. He spends 1/4 of the remaining on rent.
Amount spent on rent = (1/4) * (2/3) * x = (1/6) * x

The remaining amount = (2/3) * x - (1/6) * x = (5/12) * x

3. He spends 1/5 of the remaining on clothes.
Amount spent on clothes = (1/5) * (5/12) * x = (1/12) * x

The amount left with him = (5/12) * x - (1/12) * x = (2/5) * x

Given, he still has Rs. 1760 left with him.

Therefore, (2/5) * x = 1760

x = (1760 * 5) / 2 = Rs. 4400

Hence, his income is Rs. 4400.

Therefore, option (a) 4400 is the correct answer.
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A men spend 1/3 of his income on food,1/4 of the rest on rent and 1/5 of the rest on clothes. He still has Rs.1760 left with him. Find his income?a)4400b)4200c)4800d)5200Correct answer is option 'A'. Can you explain this answer?
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