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Sathi and Rathin invested some money in a business in the ratio 6 ∶ 5, but Sathi withdrew her money after a few months. If the end-of-twelve-months' profit was shared between Sathi and Rathin in the ratio 7 ∶ 10, for how many months did Rathin alone invest?
1. 4
2. 5
3. 6
4. 7

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Correct Answer - Option 2 : 5

Given:

Sathi and Rathin invested some money in a business in the ratio 6 ∶ 5

Profit was shared between Sathi and Rathin in the ratio 7 ∶ 10

Concept used:

(Invest of money A)/(invest of money B)× (invest of time A)/(invest of time B)= (Profit of A)/(profit of B)

Calculation:

Suppose Sathi withdrew her money after p months

So,

⇒ (6 × p)/(5 × 12) = 7/10

⇒ 6p/60 = 7/10

⇒ p = 7

Rathin invest alone 12 – 7 = 5 month

Rathin alone invest for 5 month.

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