Question

What is the total profit earned by company G for item I and II together?

• A. Rs. 78 lakh
• B. Rs. 1.62 crore
• C. Rs. 16.2 lakh
• D. None of these
• A. Rs. 9.78 crore
• B. Rs. 97.8 lakh
• C. Rs. 52.8 lakh
• D. Rs. 30.65 lakh
• A. 9.25
• B. 5.9
• C. 4.1625
• D. None of these
• A. 16%
• B. 33.33%
• C. 20%
• D. 12.5%

Answer 1

The Correct Option is A

- The total production cost for both items (I and II) by all seven companies is Rs. 25 crore.
- The percentage production by Company G is \( 12% \), so the value of production by Company G is:
\[ \frac{12}{100} \times 25 \, \text{crore} = 3 \, \text{crore} \] - The ratio of production between items I and II for Company G is \( 1:2 \), meaning for every 1 unit of item I, 2 units of item II are produced.
- The total units of production are divided in this ratio, so for every 3 units produced, 1 unit is for item I and 2 units are for item II.
- The total profit earned by Company G from item I and item II is calculated using the given profit percentages:
- Profit for Item I: \( 1 \, \text{unit of production} = \frac{1}{3} \times 30 \, \text{percent of 3 crore} = 1 \, \text{crore} \times 0.30 = 0.3 \, \text{crore} \)
- Profit for Item II: \( 2 \, \text{units of production} = \frac{2}{3} \times 24 \, \text{percent of 3 crore} = 2 \, \text{crore} \times 0.24 = 0.48 \, \text{crore} \)
- Total profit from items I and II for Company G: \[ \text{Total Profit} = 0.3 + 0.48 = 0.78 \, \text{crore} = 78 \, \text{lakh} \]
Thus, the correct answer is Rs. 78 lakh.

Answer 2

- Profit earned by company B on production of Item I: - Company B's ratio of production for Item I and Item II is \( 3:2 \). - Company B's share of total production is \( 11% \) of Rs. 25 crore: \[ \frac{11}{100} \times 25 = 2.75 \, \text{crore} \] - The share of production for Item I is \( \frac{3}{5} \times 2.75 \, \text{crore} = 1.65 \, \text{crore} \). - The profit earned by company B from Item I is \( 32% \) of 1.65 crore: \[ \frac{32}{100} \times 1.65 = 0.528 \, \text{crore} = 52.8 \, \text{lakh} \] - Profit earned by company A on production of Item II: - Company A's ratio of production for Item I and Item II is \( 2:3 \). - Company A's share of total production is \( 15% \) of Rs. 25 crore: \[ \frac{15}{100} \times 25 = 3.75 \, \text{crore} \] - The share of production for Item II is \( \frac{3}{5} \times 3.75 \, \text{crore} = 2.25 \, \text{crore} \). - The profit earned by company A from Item II is \( 20% \) of 2.25 crore: \[ \frac{20}{100} \times 2.25 = 0.45 \, \text{crore} = 45 \, \text{lakh} \] - Total profit: The total profit earned is the sum of profits from both items: \[ 52.8 \, \text{lakh} + 45 \, \text{lakh} = 97.8 \, \text{lakh} \] Thus, the correct answer is Rs. 97.8 lakh.

Answer 3

- The total cost of production (both items together) by all seven companies is Rs. 25 crore. - Company A's production of Item I: - Company A's share of total production is \( 15% \) of Rs. 25 crore: \[ \frac{15}{100} \times 25 = 3.75 \, \text{crore} \] - The ratio of production between items I and II for Company A is \( 2:3 \).
- The share of production for Item I is \( \frac{2}{5} \times 3.75 \, \text{crore} = 1.5 \, \text{crore} \). - Company C's production of Item I: - Company C's share of total production is \( 22% \) of Rs. 25 crore: \[ \frac{22}{100} \times 25 = 5.5 \, \text{crore} \] - The ratio of production between items I and II for Company C is \( 4:1 \). - The share of production for Item I is \( \frac{4}{5} \times 5.5 \, \text{crore} = 4.4 \, \text{crore} \). - Total cost of production for Item I by Companies A and C: \[ 1.5 \, \text{crore} + 4.4 \, \text{crore} = 5.9 \, \text{crore} \]
Thus, the correct answer is 5.9 crore.

Answer 4

- The total production cost for both items (I and II) by all seven companies is Rs. 25 crore.
- Company F's production of Item I:
- Company F's share of total production is \( 5% \) of Rs. 25 crore: \[ \frac{5}{100} \times 25 = 1.25 \, \text{crore} \] - The ratio of production between items I and II for Company F is \( 1:4 \). - The share of production for Item I is \( \frac{1}{5} \times 1.25 \, \text{crore} = 0.25 \, \text{crore} \).
- Company D's production of Item II:
- Company D's share of total production is \( 8% \) of Rs. 25 crore: \[ \frac{8}{100} \times 25 = 2 \, \text{crore} \] - The ratio of production between items I and II for Company D is \( 3:5 \). - The share of production for Item II is \( \frac{5}{8} \times 2 \, \text{crore} = 1.25 \, \text{crore} \).
- To calculate the percentage: We need to find what percent the cost of production of Item I by Company F is of the cost of production of Item II by Company D. The percentage is given by: \[ \frac{\text{Cost of production of Item I by Company F}}{\text{Cost of production of Item II by Company D}} \times 100 = \frac{0.25}{1.25} \times 100 = 20% \]
Thus, the correct answer is 20%.