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Pinky and Ravi started an Electronic store with initial investments in the ratio 5 : 6 and their annual profits were in the ratio 2 : 3. If Ravi invested the money for 10 months. For how many months did Pinky invest her money?
1. 5 months
2. 7 months
3. 6 months
4. 8 months
5. 10 months

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Correct Answer - Option 4 : 8 months

Given:

Initial investments of Pinky and Ravi = 5 : 6

Annual Profits = 2 : 3

Ravi invested the money for = 10 months

Calculation:

Suppose Pinky invested Rs. 5x for y months and Q invested 6x for 10 months.

∴ According to the question:

⇒ (5x × y)/(6x × 10) = 2/3

⇒ 5xy/60x = 2/3

⇒ 15y = 120

⇒ y = 120/15

⇒ y = 8 months

∴ Pinky invested her money for 8 months.

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