In the business of stitching bags Pooja, seema and rutu shared the profit in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
This questions was previously asked in
RRB Clerk Prelims (14 Aug, 2022 Shift 1)
20 : 49 : 64
Correct Answer49 : 64 : 20
Incorrect Answer64 : 20 : 49
Incorrect AnswerCan't be determined
Incorrect AnswerNone of these
Incorrect AnswerExplanation:
- The profit is divided among Pooja, Seema, and Rutu in the ratio 5 : 7 : 8.
- Their partnership durations are 14, 8, and 7 months, respectively.
- To find the investments’ ratio, multiply the profit share by the inverse of their time periods.
- Calculating:
- Pooja: \(5 \times \frac{1}{14}\)
- Seema: \(7 \times \frac{1}{8}\)
- Rutu: \(8 \times \frac{1}{7}\)
- Simplifying, we get \( \frac{5}{14} : \frac{7}{8} : \frac{8}{7} \).
- Convert to a common scale: \( 5 \times 28 : 7 \times 21 : 8 \times 16 \).
- This results in 140 : 147 : 128, which simplifies to 20 : 49 : 64.
- Hence, the correct answer is:
Option: 1 - 20 : 49 : 64
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By: Parvesh Mehta