Priya invested Rs. 27,000 in Rs. 180 shares at Rs. 150 at the beginning of a financial year. The company paid a dividend of 12%. Priya sold all her shares at the end of the year. Over this period, her net earnings were Rs. 1828. She sold the shares for _____ each.

Options

A. Rs. 160.15
B. Rs. 181.75
C. Rs. 185
D. Rs. 138.56

Explanation

To find out how much Priya sold her shares for each, we can follow these steps:

### Step 1: Calculate the number of shares Priya bought.
Priya invested Rs. 27,000 in shares that have a market value of Rs. 150 each.

\[ \text{Number of shares} = \frac{\text{Total Investment}}{\text{Market Value per Share}} = \frac{27000}{150} = 180 \]

### Step 2: Calculate the dividend earnings.
The company paid a dividend of 12% on the face value of the shares, which is Rs. 180.

\[ \text{Dividend per Share} = \text{Face Value} \times \frac{\text{Dividend Rate}}{100} = 180 \times \frac{12}{100} = 21.6 \]

Now, calculate the total dividend earnings for all shares.

\[ \text{Total Dividend Earnings} = \text{Number of Shares} \times \text{Dividend per Share} = 180 \times 21.6 = 3888 \]

### Step 3: Calculate the selling price of the shares.
Priya's net earnings were Rs. 1828. The selling price of the shares can be calculated using the formula:

\[ \text{Selling Price} = \frac{\text{Total Investment} + \text{Net Earnings} - \text{Total Dividend Earnings}}{\text{Number of Shares}} \]

Substituting the values we have:

\[ \text{Selling Price} = \frac{27000 + 1828 - 3888}{180} \]

Calculating the numerator:

\[ 27000 + 1828 - 3888 = 25000 \]

Now, divide by the number of shares:

\[ \text{Selling Price} = \frac{25000}{180} \approx 138.89 \]

### Conclusion
The selling price of each share is approximately Rs. 138.89.