A man wants to buy 124 shares available at rupes 66 (par value = rupes 50 )
(i) How much should he invest?
(ii) if the divided is 7.5 % what will be his annual income?
(iii) If he wants to increase income by rupes 600. how many extra shares should he buy ?

Answer

Let's solve the problem step by step.

### Step 1: Calculate the total investment
To find out how much the man should invest, we multiply the number of shares he wants to buy by the price per share.

**Calculation:**
\[ \text{Total Investment} = \text{Number of Shares} \times \text{Price per Share} \]
\[ \text{Total Investment} = 124 \times 66 \]

Calculating:
\[ 124 \times 66 = 8184 \]

**Answer:**
The man should invest Rs. 8184.

### Step 2: Calculate the annual income from dividends
The annual income from dividends is calculated using the formula:
\[ \text{Annual Income} = \text{Number of Shares} \times \text{Par Value} \times \left(\frac{\text{Dividend Percentage}}{100}\right) \]

Given:
- Dividend Percentage = 7.5%
- Par Value = Rs. 50

**Calculation:**
\[ \text{Annual Income} = 124 \times 50 \times \left(\frac{7.5}{100}\right) \]
\[ \text{Annual Income} = 124 \times 50 \times 0.075 \]

Calculating:
\[ 124 \times 50 = 6200 \]
\[ 6200 \times 0.075 = 465 \]

**Answer:**
His annual income will be Rs. 465.

### Step 3: Calculate the number of extra shares needed to increase income by Rs. 600
To find out how many extra shares he needs to buy to increase his income by Rs. 600, we first need to determine how much income one share generates.

**Income from one share:**
\[ \text{Income from one share} = \text{Par Value} \times \left(\frac{\text{Dividend Percentage}}{100}\right) \]
\[ \text{Income from one share} = 50 \times 0.075 = 3.75 \]

Now, we want to find out how many shares will generate an additional Rs. 600:
\[ \text{Number of Extra Shares} = \frac{\text{Increase in Income}}{\text{Income from one share}} \]
\[ \text{Number of Extra Shares} = \frac{600}{3.75} \]

Calculating:
\[ \text{Number of Extra Shares} = 160 \]

**Answer:**
He should buy 160 extra shares.

### Summary of Answers:
(i) The man should invest Rs. 8184.
(ii) His annual income will be Rs. 465.
(iii) He should buy 160 extra shares.