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

Answer 1

The Correct Option is D

To find the total amount of profit earned by the organization, we need to analyze the given information: the distribution ratio, the number of officers and clerks, and the amount received by each officer.

The individual amounts for officers and clerks are given in the ratio 5:3. Let the individual amount received by an officer be 5x and by a clerk be 3x.

We know each officer receives Rs.25,000. Therefore, 5x = Rs.25,000, and solving for x gives:

x = Rs.25,000 ÷ 5 = Rs.5,000

Using x, calculate the amount received by each clerk:

The amount received by each clerk = 3x = 3 × Rs.5,000 = Rs.15,000

Next, calculate the total amounts for all officers and clerks:

Total amount received by officers = Number of officers × Amount per officer

= 45 × Rs.25,000 = Rs.11,25,000

Total amount received by clerks = Number of clerks × Amount per clerk

= 80 × Rs.15,000 = Rs.12,00,000

Adding these gives the total amount of profit:

Total profit = Rs.11,25,000 + Rs.12,00,000 = Rs.23,25,000

Thus, the total amount of profit earned by the organization was Rs.23.25 lakh.