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.)?

Explanation

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