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A Man Spends 2/5 of His Salary on House Rent, 3/10 of His Salary on Conveyance and 1/8 on the Food. If He Has 1400 Left with Him, Find His Expenditure on Food and Conveyance.

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Explanation

A man spends 2/5 of his salary on house rent

  • 3/10 of his salary on conveyance
  • 1/8 of his salary on the food

Let suppose total salary is “y”. So;

He spends 2y/5 on house rent

3y/10 spends on conveyance

y/8 spends on the food.

So, we have an equation 2y/5 + 3y/10 + y/8 + 1400 = y

Through this equation we can easily find out the value of “y” and expenditure on food and conveyance.

To Find

Expenditure on food and conveyance = ?

Solution

Let suppose

Total salary = y

Expense on house rent == 2y/5

Expense on conveyance = 3y/10

Expense on food = y/8

Left over amount (given) = 1400

Now; according to the given condition

2y/5 + 3y/10 + y/8 + 1400 = y

(16y + 12y + 5y + 56000)/40 = y

33y + 56000 = 40y

40y – 33y = 56000

7y = 56000

y = 56000/7

y = Rs. 8000

Expenditure on food = y/8 = 8000/8 = Rs. 1000 answer

Expenditure on conveyance = 3y/10 = 3(8000)/10 = Rs. 2400 answer

Conclusion

A man spends 2/5 of his salary on house rent, 3/10 of his salary on conveyance and 1/8 on the food. If he has 1400 left with him then expenditure on food and conveyance would be Rs. 1000 and Rs. 2400.

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