A man sells 60 , `15rs` shares of a company paying 12 percent dividend, at `21rs` each and invests the proceedsin `6rs` shares of another company at `9rs` each. Find his change in income, if the second company pays a dividend of 8 percent

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Selling Price of the Shares
The man sells 60 shares at ₹21 each.

\[ \text{Selling Price} = \text{Number of Shares} \times \text{Price per Share} = 60 \times 21 = ₹1260 \]

### Step 2: Calculate the Number of ₹6 Shares Purchased
The proceeds from the sale are invested in ₹6 shares, which cost ₹9 each.

\[ \text{Number of ₹6 Shares} = \frac{\text{Selling Price}}{\text{Price per ₹6 Share}} = \frac{1260}{9} = 140 \text{ shares} \]

### Step 3: Calculate the Income from the First Company
The first company pays a 12% dividend on ₹15 shares.

\[ \text{Dividend per ₹15 Share} = \frac{12}{100} \times 15 = ₹1.80 \]

Now, calculate the total income from 60 shares:

\[ \text{Income from 60 Shares} = \text{Dividend per Share} \times \text{Number of Shares} = 1.80 \times 60 = ₹108 \]

### Step 4: Calculate the Income from the Second Company
The second company pays an 8% dividend on ₹6 shares.

\[ \text{Dividend per ₹6 Share} = \frac{8}{100} \times 6 = ₹0.48 \]

Now, calculate the total income from 140 shares:

\[ \text{Income from 140 Shares} = \text{Dividend per Share} \times \text{Number of Shares} = 0.48 \times 140 = ₹67.20 \]

### Step 5: Calculate the Change in Income
Now, we find the change in income by subtracting the income from the second company from the income from the first company.

\[ \text{Change in Income} = \text{Income from 60 Shares} - \text{Income from 140 Shares} = 108 - 67.20 = ₹40.80 \]

### Final Answer
The change in income is **₹40.80**.

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