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A invested Rs 60000 in a business. After few months, B joined him with Rs 24000. The total profit was divided between them in the ratio 3 : 1 at the end of the year. After how many months did B join?
  • a)
    4 months
  • b)
    2 months
  • c)
    6 months
  • d)
    5 months
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A invested Rs 60000 in a business. After few months, B joined him with...
B)2 months Explanation : A : B
60*12 : 24x = 3:1 60*12/24x = 3/1 = 3 x = 60*12/24*3 = 60*4/24 = 10
12 – 10 = 2
After 2 months B joined
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Most Upvoted Answer
A invested Rs 60000 in a business. After few months, B joined him with...
Given:
- A invested Rs 60000 in a business.
- B joined after few months with Rs 24000.
- Total profit was divided between them in the ratio 3:1 at the end of the year.

To find: After how many months did B join?

Let's assume that B joined after x months.

Calculation:
- A invested for the whole year, so his share of profit = 3/4
- B invested for (12-x) months, so his share of profit = 1/4
- Total profit = Profit of A + Profit of B
- Profit of A = (3/4) * Total Profit
- Profit of B = (1/4) * Total Profit
- Ratio of investment of A and B = 60000 : 24000 = 5 : 2

Therefore, we can write the equation as:
(3/4) * Total Profit = (5/7) * Total Profit * (x/12) + (1/4) * Total Profit * (12-x)/12

Simplifying the above equation, we get:
3 = 5x/84 + (12-x)/4
12 = 5x/14 + (12-x)/1
12 = (5x + 168 - x)/14
5x + 168 - x = 168
4x = 0
x = 0

Hence, B joined after 0 months or at the beginning of the year.

Therefore, the correct answer is option B) 2 months.
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