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Ratio & Proportion · Question 64 of 67

Question 64

MediumOriginal question

Two partners share profit in the ratio 5:35 : 3. Their capitals were invested for periods in the ratio 2:32 : 3. What is the ratio of their capitals?

Options for question 64

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Profit ∝ capital × time, so capital ∝ profit ÷ time.

  2. Capital ratio = 52:33=52:1=5:2\frac{5}{2} : \frac{3}{3} = \frac{5}{2} : 1 = 5 : 2.

Worth noting

10:910 : 9 multiplies profit by time instead of dividing.

Concept
Working back from profit ratio to capital ratio
Typical time
60 s
Your time
—
The rule this testsPartnership
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Ten questions from Ratio & Proportion, at your own pace.

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Ten questions from Ratio & Proportion, at your own pace.

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