A, B, C entered into a business with a total capital of ₹ 50,000/-. A invested ₹ 4,000/- more than B and B invested ₹ 5,000/- more than C. If there is a total profit of ₹ 35,000/- then A’s share in the profit, in rupees is

Solution 

Let C's investment be C

So 

B = C+ 5000

 A = B+ 4000 = (C+ 5000)+ 4000 = C+ 9000 =A

So A +B +C = 50000

    C+ 9000 +C+ 5000 + C = 50000

    14000 + 3C = 50000

     3C = 36000 

       C = 12000    

Hence A =  C+ 9000 = 21000

         B = C+ 5000 = 17000

Ratio of A:B:C = 21:17:12

Profit = 35000

As share = $$\frac{21}{21+17+12}$$ x 35000 = $$\frac{21}{50}$$ x 35000 = 21 x 700 

            = 14700 Answer