A started a business with a capital of Rs 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 : 4 : 5. What is the sum (in rs) of the capitals invested by B and C?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 8,64,000
Let the amount invested by B and C be x and y.
| A | B | C | |
| Investment | 54000 | x | y |
| Time - period | 12 | 8 | 6 |
| Profit share | 1 | 4 | 5 |
54000 × 12 = 1 units.
1 unit = 648000
B's profit share = 4 units
4 units = 8 × x
4 × 648000 = 8 × x
x = 324000
5 units = 6 × y
5 × 648000 = 6 × y
y = 540000
x + y = 324000 + 540000 = 864000.