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

Treat the ratio $5 : 3$ as made up of equal "ratio units" of money.

1. Find the value of one ratio unit. An officer's share corresponds to 5 units and equals Rs. 25,000, so one unit $= 25000 / 5 = \text{Rs. } 5000$.
2. Find the clerk's share. A clerk's share corresponds to 3 units, so a clerk receives $3 \times 5000 = \text{Rs. } 15000$, matching the direct ratio calculation.
3. Total for officers. $45 \times 25000 = \text{Rs. } 11,25,000$.
4. Total for clerks. $80 \times 15000 = \text{Rs. } 12,00,000$.
5. Add them up. $11,25,000 + 12,00,000 = \text{Rs. } 23,25,000 = \text{Rs. } 23.25$ lakh.

So the total profit earned is Rs. 23.25 lakh, option D.