Calculation of Number of Shares with 8% Dividend on Face Value of Rs.10 yielding Rs.24:

To calculate the number of shares, we need to use the formula:

Total Dividend = Face Value * Number of Shares * Rate of Dividend

We are given that the face value of each share is Rs.10 and the total dividend at 8% is Rs.24. Therefore, we can write:

24 = 10 * Number of Shares * 0.08

Simplifying this equation, we get:

Number of Shares = 24 / (10 * 0.08)

Number of Shares = 30

Therefore, the number of shares is 30.

Explanation:

The question is asking us to find the number of shares that yield a total dividend of Rs.24 at a rate of 8% on the face value of Rs.10. To solve this problem, we need to use the formula for calculating the total dividend.

In this formula, the total dividend is equal to the face value of the share multiplied by the number of shares multiplied by the rate of dividend. We know the total dividend and the face value, but we need to find the number of shares.

By rearranging the formula, we can solve for the number of shares. We substitute the given values and simplify the equation to find that the number of shares is 30.

Therefore, there are 30 shares that yield a total dividend of Rs.24 at a rate of 8% on the face value of Rs.10.