A invested Rs. 4500 in a business and after some time B also joined him and invested Rs. 4800. At the end of year B received Rs. 4400 profit out of Rs. 9900. After how much time did B join the business?
This questions was previously asked in
SBI Clerk Prelims (10 Jul, 2021 Shift 1)
1 months
Incorrect Answer2 months
Incorrect Answer4 months
Incorrect AnswerNone of these
Incorrect AnswerExplanation:
- A invested Rs. 4500 for the whole year.
- The total profit at the end of the year is Rs. 9900.
- B received a profit of Rs. 4400.
- Since profits are shared according to the time and amount invested, we can equate the ratio of their investments to the ratio of their profits.
- Let B join the business after x months. B's investment is then for (12 - x) months.
- Therefore, (4500 * 12) / (4800 * (12 - x)) = (9900 - 4400) / 4400
- Solving this equation, 54000 / (4800 * (12 - x)) = 5 / 4
- Simplifying gives: 5 * (12 - x) = 4 * 11.25
- 60 - 5x = 45
- 5x = 15
- x = 3
Correct Answer: 4) 3 months
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By: Parvesh Mehta