Question

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.

Answer 1

wait.................

Answer 2

Answer:

27 : 80

Step-by-step explanation:

Given,

The ratio of salaries of john and jimmy = 3 : 7

Let John's salary = 3x and Jimmy's salary = 7x,

Where, x is any positive real number,

Now, The ratio of their expenditures is 9 : 4,

Let John's expenditure = 9y and Jimmy's expenditure = 4y,

Where, y is any positive real number,

So, the  ratio of salary and savings of john = $\frac{3x}{3x-9y}$ ( ∵ saving = income - expenditure ),

According to the question,

$\frac{3x}{3x-9y}=\frac{4}{3}$

$\frac{x}{x-3y}=\frac{4}{3}$

$3x=4x-12y$

$\implies x = 12y$

Hence, the ratio of their savings = $\frac{\text{John's saving}}{\text{Jimmy's saving}}$

$=\frac{3x-9y}{7x-4y}$

$=\frac{36y-9y}{84y-4y}$

$=\frac{27y}{80y}$

$=\frac{27}{80}$