Three persons A, B and C start a business with a total amount of ₹2,60,000. The ratio of their investment in the total amount is 15:18:19, respectively. They earn a profit of 12% this year on the total investment. The profit is to be distributed in the same ratio of investment. How much profit will C earn?
- A₹12,200
- B₹13,200
- C₹11,400
- D₹10,800
Solution & Step-by-step Explanation
Given:
Total Investment = ₹2,60,000
Profit percentage = 12%
First, let's find the total profit earned:
Total Profit=12% of 2,60,000=
100
12
×2,60,000=12×2600=₹31,200
The profit is shared in the ratio of their investments, which is 15:18:19.
Sum of ratio parts = 15+18+19=52.
C's share of the profit corresponds to 19 units out of 52:
C’s Profit=
52
19
×31,200
Dividing 31,200 by 52:
52
31,200
=600
Now compute C's profit:
C’s Profit=19×600=₹11,400
Total Investment = ₹2,60,000
Profit percentage = 12%
First, let's find the total profit earned:
Total Profit=12% of 2,60,000=
100
12
×2,60,000=12×2600=₹31,200
The profit is shared in the ratio of their investments, which is 15:18:19.
Sum of ratio parts = 15+18+19=52.
C's share of the profit corresponds to 19 units out of 52:
C’s Profit=
52
19
×31,200
Dividing 31,200 by 52:
52
31,200
=600
Now compute C's profit:
C’s Profit=19×600=₹11,400