A, B, and C invested in a business in the ratio of 5:3:2. After 6 months, A doubled his investment, B increased his investment by 50%, and C kept his investment the same. If the total profit at the end of 1 year is Rs. 90,000, how much will B receive?
Show answer & explanation
Correct answer: C
Explanation
Given:
A : B : C = 5 : 3 : 2
After the first 6 months:
A's investment = Doubled
B's investment = 50% more
C's investment = Remained the same
Total Profit = ₹90,000
Total Duration = 12 months
First 6 months:
A = 5 × 6 = 30
B = 3 × 6 = 18
C = 2 × 6 = 12
Next 6 months:
A = (5 × 2) × 6 = 10 × 6 = 60
B = (3 × 1.5) × 6 = 4.5 × 6 = 27
C = 2 × 6 = 12
Total Investment × Time:
A = 30 + 60 = 90
B = 18 + 27 = 45
C = 12 + 12 = 24
Ratio = 90 : 45 : 24 = 30 : 15 : 8
Total Shares = 30 + 15 + 8 = 53
B's Profit = (15/53) × 90,000 = ₹25,472