The ratio of salaries of John and Jimmy is 3 : 7. The ratio of their expenditures is 9 : 4. The ratio of salary and savings of John is 4 : 3. Find the ratio of their savings.

A 1 : 4

B 27 : 80

C 3 : 13

D 2 : 7

Solution

Correct Answer: Option B

Let salaries of John and Jimmy be 3M and 7M, respectively.

Let their expenditures of John and Jimmy be 9N and 4N, respectively.

The ratio of salary and savings of John is 4 : 3. So, 3M/(3M – 9N) = 4/3

⇒ 9M = 12M – 36N

⇒ M/N = 12

Ratio of their savings will be (3M – 9N) : (7M – 4N)

⇒ (3M – 9N) : (7M – 4N) = (3M/N – 9) : (7M/N – 4) = (36 – 9) : (84 – 4) = 27 : 80

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