Arun, Kamal and Vinay invested Rs 8000, Rs 4000 and Rs 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs 4005, then what will be the share of Kamal?

890

Investment is proportional to Capital $\times$ Time.

Step 1: Calculate capital-time products

• Arun: ₹8000 for 6 months

$8000 \times 6 = 48000$

• Kamal: ₹4000 for 8 months

$4000 \times 8 = 32000$

• Vinay: ₹8000 for 8 months

$8000 \times 8 = 64000$

Ratio of investments:

$48000 : 32000 : 64000 = 3 : 2 : 4$

Step 2: Calculate Kamal's share

Total ratio:

$3 + 2 + 4 = 9$

Kamal's share:

$\frac{2}{9} \times 4005 = 2 \times 445 = 890$