What per cent of people over `35` yr do not read either type of magazine?

Options

A. `14 %`
B. `50.27 %`
C. `54 %`
D. `63.49 %`

Answer

To solve the problem of finding what percent of people over 35 years do not read either type of magazine, we can follow these steps:

### Step 1: Determine the Total Number of People
We are given that there are 200 males and 430 females in the age group of 36 to 60 years.

**Calculation:**
\[ \text{Total people} = \text{Number of males} + \text{Number of females} = 200 + 430 = 630 \]

### Step 2: Calculate the Total Number of Readers
Next, we need to find the total number of readers who read either type of magazine. The data provided indicates the following readers:
- 50 (Type A)
- 40 (Type B)
- 40 (Type C)
- 50 (Type D)
- 30 (Type E)
- 20 (Type F)

**Calculation:**
\[ \text{Total readers} = 50 + 40 + 40 + 50 + 30 + 20 = 230 \]

### Step 3: Calculate the Number of Non-Readers
To find the number of people who do not read either type of magazine, we subtract the total number of readers from the total number of people.

**Calculation:**
\[ \text{Non-readers} = \text{Total people} - \text{Total readers} = 630 - 230 = 400 \]

### Step 4: Calculate the Percentage of Non-Readers
Now, we need to find out what percentage of the total population (630 people) are non-readers (400 people).

**Calculation:**
Let \( x \) be the percentage of non-readers.
\[ \frac{x}{100} = \frac{400}{630} \]
To find \( x \), we rearrange the equation:
\[ x = \frac{400}{630} \times 100 \]

### Step 5: Simplify the Calculation
Now, we can simplify \( \frac{400}{630} \):
\[ x = \frac{400 \div 10}{630 \div 10} \times 100 = \frac{40}{63} \times 100 \]

Calculating \( \frac{40}{63} \):
\[ x \approx 0.6349 \times 100 = 63.49\% \]

### Conclusion
Thus, the percentage of people over 35 years who do not read either type of magazine is approximately **63.49%**.

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