Question

Profit earned by an organization is distributed among officers and clerks where the individual amount received by them is in the ratio of \(5 : 3\). If the number of officers is 45 and the number of clerks is 80, and the amount received by each officer is Rs. 25,000, what was the total amount of profit earned?

• A. Rs. 22 lakh
• B. Rs. 18.25 lakh
• C. Rs. 18 lakh
• D. Rs. 23.25 lakh

Hint:

Use the ratio to find each clerk's share from the officer's known share, then add up officers' and clerks' total amounts.

Answer 1

The Correct Option is D

Step 1: Find the amount received by each clerk.
Each officer receives Rs. 25,000, and the officer-to-clerk individual ratio is \(5 : 3\). So each clerk receives: \[ \frac{3}{5} \times 25000 = \text{Rs. } 15000 \]

Step 2: Compute the total profit.
Total profit = (number of officers \(\times\) amount per officer) + (number of clerks \(\times\) amount per clerk): \[ 45 \times 25000 + 80 \times 15000 = 1125000 + 1200000 = 2325000 \]

Final Answer:
Rs. 23,25,000 equals Rs. 23.25 lakh. \[ \boxed{\text{Total profit} = \text{Rs. } 23.25 \text{ lakh}} \]