A, B and C started a business on partnership by investing ₹42,000, ₹50,000 and ₹65,000 respectively. After 8 months, A invested ₹24,000 more while C withdrew ₹15,000. If profit earned at the end of the year is ₹1,04,000, then find the share of C in the profit.

₹39,000

We have,

The investment of A, B and C ₹42,000, ₹50,000 and ₹65,000 respectively. After 8 months, A invested ₹24,000 more while C withdrew ₹15,000. If profit earned at the end of the year is ₹1,04,000.

Now according to the question,

The ratio of the share of ,

                                  A               B            C

Investment  -         42000        50000        65000

After 8 months, A invested ₹24,000 more while C withdrew ₹15,000,

Now the ratio of the profit of them,

              A                                         B                         C

((42000 × 8) + (66000 × 4))    50000 × 12      ((65000 × 8) + (50000 × 4))

A : B : c = 600 : 600 : 720 = 5 : 5 : 6

So, 5x + 5x + 6x = 1,04,000

share of c = 1,04,000  × 6 / 16 = 39000