In a business, A and B invest ₹50,000 and ₹60,000, respectively. The profit of C is double the profit of B. If the total profit is ₹23,000, then the profit of A (in ₹) is:

Correct option is C

Given:
Investment of A = ₹50,000

Investment of B = ₹60,000

Profit of C = 2 × Profit of B

Total profit = ₹23,000

Solution:

Let the profit of B = x

Then, profit of C = 2x

Let the profit of A = y 

Total profit equation:

y + x + 2x = 23,000

y + 3x = 23,000 ...... (1)

Since investments are given, assume profit sharing ratio = investment ratio (if no other info is provided):

Ratio of A : B = 50,000 : 60,000 = 5 : 6 

Thus,

​$$\frac{y}{x} = \frac{5}{6} \implies y = \frac{5}{6}x \quad \text{(2)}$$​​

Substitute (2) into (1):

​$$\frac{5}{6}x + 3x = 23,000$$​​

5x + 18x = 138,000

23x = 138,000 

x = 6,000 

Profit of A (y):

y = $$\frac{5}{6} \times 6,000$$​ = 5,000 

Alternate Solution: 

Ratio of investment  = ratio of profit

Ratio of A : B = 50,000 : 60,000 = 5 : 6  

C is two times of B 

So new profit ratio = 5 : 6 : 12 

Sum = 5 + 6 + 12 = 23 

23 unit = 23000 

1 unit = 1000

A's profit = 5 unit = 5000