A man invests `3072rs` in a company paying `5%` per annum, when its `10rs` share can be bought for `16rs` 16 each. Find.
(i) his annual income
(ii) his percentage income on his investment

Answer

Let's solve the problem step by step.

### Given:
- Investment = ₹3072
- Rate of interest = 5% per annum
- Nominal value of a share = ₹10
- Market price of a share = ₹16.16

### Step 1: Calculate the number of shares purchased
To find the number of shares that can be bought with the investment, we use the formula:

\[ \text{Number of shares} = \frac{\text{Investment}}{\text{Market price of a share}} \]

Substituting the values:

\[ \text{Number of shares} = \frac{3072}{16.16} \approx 190 \]

### Step 2: Calculate the annual income
The annual income from the shares can be calculated using the formula:

\[ \text{Annual Income} = \text{Number of shares} \times \text{Nominal value of a share} \times \left(\frac{\text{Rate of interest}}{100}\right) \]

Substituting the values:

\[ \text{Annual Income} = 190 \times 10 \times \left(\frac{5}{100}\right) = 190 \times 10 \times 0.05 = 95 \]

### Step 3: Calculate the percentage income on investment
The percentage income on the investment can be calculated using the formula:

\[ \text{Percentage Income} = \left(\frac{\text{Annual Income}}{\text{Investment}}\right) \times 100 \]

Substituting the values:

\[ \text{Percentage Income} = \left(\frac{95}{3072}\right) \times 100 \approx 3.09\% \]

### Final Answers:
(i) His annual income = ₹95
(ii) His percentage income on his investment = 3.09%

---