Abhi and Bhushan started a business with capital of Rs. 2000 & Rs. 3000 respectively. At the end of 8 months, Divya joined the business with capital of Rs. 4000. At the end of a years, the profit share of Divya is Rs. 6000. Find the total profit share of Abhi and Bhushan (in Rs.)?

Correct option is C

Information Given:

Abhi's capital = Rs. 2000

Bhushan's capital = Rs. 3000

Divya joined after 8 months with Rs. 4000 capitals

After 1 year, Divya's profit share = Rs. 6000

Asked: Total profit share of Abhi and Bhushan

Concept/Formula Used:

Profit Sharing Ratio = Capital × Time

Calculate profit shares proportional to their investments × time

Total profit share = Sum of profit shares of all partners

Explanation:

Time of investment for Abhi and Bhushan = 12 months

Time of investment for Divya = 4 months (since joined after 8 months)

Investment × Time for Abhi = 2000 × 12 = 24000

Investment × Time for Bhushan = 3000 × 12 = 36000

Investment × Time for Divya = 4000 × 4 = 16000

Profit share ratio = 24000 : 36000 : 16000 = 24 : 36 :16 = 3 : 4.5 : 2

Divya's share (2 parts) = Rs. 6000

1 part = 6000 / 2 = Rs. 3000

Abhi + Bhushan's share = (3 + 4.5) parts = 7.5 parts

Total share of Abhi and Bhushan = 7.5 × 3000 = Rs. 22500

Short Trick:

Calculate investment × time for all; ratio 3:4.5:2

Divya's 2 parts = 6000 → 1 part = 3000

Abhi and Bhushan combined = 7.5 parts

7.5 × 3000 = Rs. 22500