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?
Answer & explanation
Correct answer: option 1
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:
$\frac{2}{9} \times 4005 = 2 \times 445 = 890$