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Question : A invests Rs. 64,000 in a business. After a few months, B joined him with Rs. 48,000. At the end of the year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?

Option 1: 8

Option 2: 4

Option 3: 6

Option 4: 7


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

Correct Answer: 4


Solution : Let the number of months after which B joined as $x$ months.
Therefore, A's investment was for 12 months and B's investment was for $(12 - x)$ months.
The ratio of A's investment to B's investment is equal to the ratio of their profits.
$⇒\frac{(64000 \times 12)}{(48000 \times (12 - x)) }= \frac{2}{1}$
$⇒\frac{(4 \times 12)}{(3 \times (12 - x)) }= \frac{2}{1}$
$⇒\frac{8}{(12 - x)}= 1$
$⇒x= 12 - 8 = 4$ months
Hence, the correct answer is 4.

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