A , B and C start a business , each .investing Rs 20000 . after 5 month A withdrew Rs 5000, B Rs 4000 and C invested Rs 6000 more . at the end of the year , a total profit of Rs 69900 was recorded . what is the share of B ?
Answers
B invest = 20,000 - 4,000 = 16,000
C invest = 20,000 + 6,000 = 26,000
total investment = 57,000
profit = 69900
total percentage C invested
= (100 × 26,000) ÷ 57000
= 45.61
Total profit including investment
= 57,000 + 69,900
= 126,900
Share of B in it = 45.61 × (1,26,900) ÷ 100
= 57,879.09
A, B and C’s total investment for first 5 months:
A- 5 x 20000= 1,00,000
B- 5 x 20000 = 1,00,000
C- 5 x 20000 = 1,00,000
After 5 months investments (per month) are like this
A- 20000 - 6000 = 14,000
B - 20000 - 4000 = 16,000
C - 20000 + 6000 = 26,000
A, B and C’s total investment for remaining 7 months:
A- 7 x 14,000 = 98,000
B- 7 x 16,000 = 1,12,000
C- 7 x 26,000 = 1,82,000
A, B and C’s total investment for 12 months:
A - 1,00,000 + 98,000 = 1,98,000
B - 1,00,000 + 1,12,000 = 2,12,000
C - 1,00,000 + 1,82,000 = 2,82,000
Profit ratio is equal to investment ratio. So,
198000 : 212000 : 282000 = 99 : 106 : 141 = 346
A’s share in profit - 69,900 x 99 / 346 = Rs. 20,000.3
B’s share in profit 69,900 x 106 / 346 = Rs. 21,414.5
C’s share in profit 69,900 - 20000.3 - 21,414.5 = Rs. 28485.2