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A, B and C entered into a business and the ratio of their investments was 5 : 4 : 3. After 4 months B invested $ 1,000 more and after 8 months C invested $ 2,000 more. At the end of one year the profit ratio was 15 : 14 : 11, then the investment of C at the beginning was
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- $ 3000
- $ 6000
- $ 4500
- $ 7500
Correct Option: A
Here , Ratio of profit of A , B and C = 15 : 14 : 11
Ratio of their investments = 5 : 4 : 3
Let the investment of A = $ 5k
The investment of B = $ 4k
The investment of C = $ 3k
∴ Ratio of their equivalent capitals for 1 month = { 5k × 12 } : { 4k × 4 + ( 4k + 1000 ) × 8 } : { 3k × 8 + ( 3k + 2000 ) × 4 }
Ratio of their equivalent capitals for 1 month = 15k : (12k + 2000) : (9k + 2000)
| ∴ | = | 12k + 2000 | 14 |
⇒ 14k = 12k + 2000
⇒ 2k = 2000
⇒ k = $ 1000
∴ C’s investment = 3k = $ 3000
