Ram and Sita invested capital in the ratio 4 : 5. The time Sita invest

1.	Ram and Sita invested capital in the ratio 4 : 5. The time Sita invested her money for was one year lesser than that invested by Ram. The ratio of their profits is is in the ratio 6 : 7. Find the time Sita invested the money for?1. 152. 133. 124. 14
Answer» Correct Answer - Option 4 : 14 Given: Ram and Sita invested capital in the ratio 4 : 5. The time Sita invested her money for was one year lesser than that invested by Ram. The ratio of their profits is is in the ratio 6 : 7. Formula: Ratio of Profit = ratios of product of Amount invested and time Calculation: Let the money invested by Rama and Sita be 4x and 5x respectively. Let the time they invested for be t and t – 1 respectively. Ratio of profit = 4xt/5x(t-1) ⇒ 4xt/{5x (t-1)} = 6/7 ⇒ 4t/{5(t-1)} = 6/7 ⇒ 28t = 30t – 30 ⇒ 2t = 30 ⇒ t = 15 Time Sita invested for = t – 1 = 15 – 1 = 14 years ∴ The time Sita invested the money for is 14 years.

Ram and Sita invested capital in the ratio 4 : 5. The time Sita invested her money for was one year lesser than that invested by Ram. The ratio of their profits is is in the ratio 6 : 7. Find the time Sita invested the money for?1. 152. 133. 124. 14

Answer» Correct Answer - Option 4 : 14

Given:

Ram and Sita invested capital in the ratio 4 : 5. The time Sita invested her money for was one year lesser than that invested by Ram. The ratio of their profits is is in the ratio 6 : 7.

Formula:

Ratio of Profit = ratios of product of Amount invested and time

Calculation:

Let the money invested by Rama and Sita be 4x and 5x respectively.

Let the time they invested for be t and t – 1 respectively.

Ratio of profit = 4xt/5x(t-1)

⇒ 4xt/{5x (t-1)} = 6/7

⇒ 4t/{5(t-1)} = 6/7

⇒ 28t = 30t – 30

⇒ 2t = 30

⇒ t = 15

Time Sita invested for = t – 1 = 15 – 1 = 14 years

∴ The time Sita invested the money for is 14 years.

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