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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. 42. 53. 64. 7 |
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Answer» 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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