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A, B and C invested 5600, 7700 and 9100 respectively for a certain time. A invested for 1 more year than B invested for, who invested for one more year than C invested for. The ratio of profits of B and C is 55 : 52. Find the time A invested for.

A, B and C invested 5600, 7700 and 9100 respectively for a certain time. A invested for 1 more year than B invested for, who invested for one more year than C invested for. The ratio of profits of B and C is 55 : 52. Find the time A invested for. Correct Answer 6

Given: A, B and C invested 5600, 7700 and 9100 respectively for certain time. A invested for 1 more year than B invested for, who invested for one more year than C invested for. The ratio of profits of B and C is 55 : 52.

Formula: Ratio of profits after investment = ratio of sum of the product of invesment amount and the time invested for.

Calculation: Let B invested for x years., then A invested for x + 1 years. and C invested for x – 1 year

7700 × x/9100 (x – 1) = 55/52

⇒ 7700x/9100x – 9100 = 55/52

⇒ 140x/175x – 175 = 1/1

⇒ 140x = 175x – 175

⇒ 175 = 175x – 140x

⇒ 175 = 35x

⇒ X = 175/35 = 5

So, A invested for 5 + 1 = 6 years.

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