The average expenditure of a labourer for 6 months was 90 and he fell into debt.

The average expenditure of a labourer for 6 months was 90 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i

Answer/Solution

Steps/Work

Income of 6 months = (6 × 90) – debt
= 540 – debt
Income of the man for next 4 months
= 4 × 60 + debt + 30
= 270 + debt
∴ Income of 10 months = 810
Average monthly income = 810 ÷ 10 = 81
Answer E

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The average expenditure of a labourer for months was and he fell into debt. In the next months by reducing his monthly expenses to he not only cleared off his debt but also saved . His monthly income i

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate (n₄ + n₀ * n₁ + n₂ * n₃) / (n₀ + n₂).

n₀ =	6
n₁ =	90
n₂ =	4
n₃ =	60
n₄ =	30

(n₄ + n₀ * n₁ + n₂ * n₃) / (n₀ + n₂)
Evaluate n₀ * n₁ = 540
(n₄ + 540 + n₂ * n₃) / (n₀ + n₂)
Evaluate n₂ * n₃ = 240
(n₄ + 540 + 240) / (n₀ + n₂)
Evaluate 540 + 240 = 780
(n₄ + 780) / (n₀ + n₂)
Evaluate n₄ + 780 = 810
810 / (n₀ + n₂)
Evaluate n₀ + n₂ = 10
810 / 10
Evaluate 810 / 10 = 81
81
The answer to the problem and the result of (n₄ + n₀ * n₁ + n₂ * n₃) / (n₀ + n₂) is 81

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