A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ?

Options

A. A) 6 %
B. B) 8 %
C. C) 10 %
D. D) 12 %

Answer

To solve the problem step by step, let's denote the man's total income as \( x \).

### Step 1: Calculate the amount spent on food
The man spends 35% of his income on food. Therefore, the amount spent on food is:
\[ \text{Amount spent on food} = 0.35x \]

### Step 2: Calculate the amount spent on children's education
Next, he spends 25% of his income on children's education. The amount spent on education is:
\[ \text{Amount spent on education} = 0.25x \]

### Step 3: Calculate the total amount spent so far
Now, we need to find the total amount spent on food and education:
\[ \text{Total spent on food and education} = 0.35x + 0.25x = 0.60x \]

### Step 4: Calculate the remaining income after food and education
The remaining income after spending on food and education is:
\[ \text{Remaining income} = x - 0.60x = 0.40x \]

### Step 5: Calculate the amount spent on house rent
He spends 80% of the remaining income on house rent. Therefore, the amount spent on house rent is:
\[ \text{Amount spent on house rent} = 0.80 \times (0.40x) = 0.32x \]

### Step 6: Calculate the remaining income after house rent
Now, we calculate how much income is left after spending on house rent:
\[ \text{Remaining income after house rent} = 0.40x - 0.32x = 0.08x \]

### Step 7: Calculate the percentage of income left
To find out what percent of his total income \( x \) he is left with, we calculate:
\[ \text{Percentage of income left} = \left( \frac{0.08x}{x} \right) \times 100 = 8\% \]

Thus, the man is left with **8%** of his income.

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