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A began business with $ 45000 and was joined afterwards by B with $ 54000. After how many months did B join if the profits at the end of the year were divided in the ratio 2 : 1?
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Correct Option: D
Let B remained in business for T months.
Invested amount by A = $ 45000
Invested amount by B = $ 54000
Ratio of profit of A and B = 2 : 3
Ratio of equivalent capitals = 45000 × 12 : 54000 × T = 10 : T
| ∴ | = | T | 1 |
⇒ 2T = 10 ⇒ T = 5
Clearly, B joined after (12 – 5) = 7 months.
