A and B started a mercantile establishment with initial investments within the ratio 4: 5 and their annual profits were within the ratio 2: 5, If A invested the cash for 10 months then for how many months B invested his money?

- 22 months
- 25 months
- 21 months
- 20 months
- None of these

Option 4 : 20 months

Let's discuss the concepts related to Profit and Loss and Partnership. Explore more from Quantitative Aptitude here. Learn now!

**Given:**

Initial investments' ratio of A and B = 4: 5

Ratio of their annual profits = 3: 5

**Calculation**

Let us assume that

A invests 4x amount for 10 months and

B invests 5x amount for y months

According to the question,

(4x × 10)/(5x × y) = 2/5

20x × 10 = 10xy

Y = 20 months

Hence, B invested for 20 months

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