A man wants to buy 62 shares available at `132rs` (par value being `100rs`).
(i) How much he will have to invest ?
(ii)If the dividend is `7.5%` what will be his annual income ?
(iii) If he wants to increase his annual income by `150rs` how many extra shares should he buy ?

Answer

Let's solve the problem step by step.

### Given Information:
- Number of shares = 62
- Market price per share = ₹132
- Par value per share = ₹100
- Dividend rate = 7.5%

### (i) How much he will have to invest?

To calculate the total investment, we use the formula:

\[ \text{Total Investment} = \text{Number of Shares} \times \text{Market Price per Share} \]

Substituting the values:

\[ \text{Total Investment} = 62 \times 132 \]

Calculating this:

\[ \text{Total Investment} = 8184 \]

So, the man will have to invest ₹8184.

### (ii) If the dividend is 7.5%, what will be his annual income?

The annual income from dividends can be calculated using the formula:

\[ \text{Annual Income} = \text{Number of Shares} \times \text{Dividend per Share} \]

First, we need to calculate the dividend per share:

\[ \text{Dividend per Share} = \frac{\text{Dividend Rate}}{100} \times \text{Par Value} \]

Substituting the values:

\[ \text{Dividend per Share} = \frac{7.5}{100} \times 100 = 7.5 \]

Now, substituting this back into the annual income formula:

\[ \text{Annual Income} = 62 \times 7.5 \]

Calculating this:

\[ \text{Annual Income} = 465 \]

So, his annual income will be ₹465.

### (iii) If he wants to increase his annual income by ₹150, how many extra shares should he buy?

To find out how many extra shares he needs to buy to increase his income by ₹150, we first need to determine how much income one additional share generates:

\[ \text{Income from One Extra Share} = \text{Dividend per Share} = 7.5 \]

Now, we can calculate the number of extra shares needed to achieve an increase of ₹150 in annual income:

\[ \text{Number of Extra Shares} = \frac{\text{Increase in Income}}{\text{Income from One Extra Share}} \]

Substituting the values:

\[ \text{Number of Extra Shares} = \frac{150}{7.5} \]

Calculating this:

\[ \text{Number of Extra Shares} = 20 \]

So, he should buy 20 extra shares.

### Summary of Answers:
(i) He will have to invest ₹8184.
(ii) His annual income will be ₹465.
(iii) He should buy 20 extra shares.

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