Bartlett Campbell
02/07/2023 · Middle School
Calculate the commission if the sales of the momth is Rs. \( 6,50,000 \). A cooperative decided to distribute \( 15 \% \) dividend of the net profit cam. in the year. It had distributed 12000 shares. The cooperative carned net profit of \( 22,00,000 \) in a year. WI. dividend does a person with 250 shares receive? What should be the net profit of the cooperative so that each share shot receive Rs. 35 at same rate of dividend"
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Step-by-step Solution
To calculate the commission on sales, we need to know the commission rate. However, since the commission rate is not provided, we cannot calculate the commission for the sales of Rs. 6,50,000.
Next, let's calculate the dividend for a person with 250 shares.
1. **Calculate the total dividend distributed:**
The cooperative decided to distribute \( 15\% \) of the net profit as dividends. The net profit is Rs. \( 22,00,000 \).
\[
\text{Total Dividend} = 15\% \text{ of } 22,00,000 = \frac{15}{100} \times 22,00,000 = 3,30,000
\]
2. **Calculate the dividend per share:**
The cooperative distributed 12,000 shares.
\[
\text{Dividend per share} = \frac{\text{Total Dividend}}{\text{Number of Shares}} = \frac{3,30,000}{12,000} = 27.5
\]
3. **Calculate the dividend for 250 shares:**
\[
\text{Dividend for 250 shares} = 250 \times 27.5 = 6,875
\]
So, a person with 250 shares receives Rs. 6,875.
Next, we need to find the net profit required so that each share receives Rs. 35 at the same rate of dividend.
1. **Calculate the total dividend needed for Rs. 35 per share:**
If each share is to receive Rs. 35, then for 12,000 shares, the total dividend required is:
\[
\text{Total Dividend} = 35 \times 12,000 = 4,20,000
\]
2. **Calculate the net profit required to distribute this total dividend:**
Since the cooperative distributes \( 15\% \) of the net profit as dividends, we can set up the equation:
\[
0.15 \times \text{Net Profit} = 4,20,000
\]
Solving for Net Profit:
\[
\text{Net Profit} = \frac{4,20,000}{0.15} = 28,00,000
\]
Thus, the net profit of the cooperative should be Rs. 28,00,000 so that each share receives Rs. 35 at the same rate of dividend.
Quick Answer
1. Dividend for 250 shares: Rs. 6,875
2. Net profit required for Rs. 35 per share: Rs. 28,00,000
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