Ali, Bina and Charu start a business with capitals in the ratio $2 : 3 : 4$. After 3 months Ali doubles his capital, and after 6 months Bina withdraws half of hers. The year's profit is ₹78,000. What is Charu's share?

Explanation

1. 01

   Take the capitals as 2, 3 and 4 units.

2. 02

   Ali: $2 \times 3 + 4 \times 9 = 42$. Bina: $3 \times 6 + 1.5 \times 6 = 27$. Charu: $4 \times 12 = 48$.

3. 03

   Ratio = $42 : 27 : 48 = 14 : 9 : 16$, a total of 39 parts; one part = ₹2,000.

4. 04

   Charu's share = 16 × ₹2,000 = ₹32,000.