Question

If the incomes of ram and shyam are in the ratio of 3:4 and their expenditures in the ratio 4:5, find the ratio of their savings given that shyam saves a third of his income

Answer 1

let income be multiple of 3.
9000:12000
shayam saving =1/3×12000=4000
12000-4000=8000expenditure
5=8000
1=1600
so 4=1600×4=6400
so 9000-6400=2600 saving of ram
ram: shyam saving
2600:4000
13:20
please mark it as a brainliest answer

Answer 2

Answer:

13:20

Step-by-step explanation:

The incomes of Ram and Shyam are in the ratio of 3:4

Let the ratio be x

So, income of Ram and Shyam are 3x and 4x

Their expenditures in the ratio 4:5

Let the ratio be y

Their expenditure are 4y and 5y

Saving = Income - expenditure  

So, their savings are 3x - 4y and 4x - 5y

We are given B save 1/3 rd of his income

So,$4x - 5y = \frac{1}{3} (4x)$

$12 x - 15 y = 4x$

$8x = 15 y$

$x = \frac{15y}{8}$

Ratio of their saving = $\frac{3x-4y}{4x-5y}$

                                 = $\frac{\frac{45y}{8}- 4y }{ \frac{60y}{8}- 5y }$

                                 = $\frac{13y }{ 20y}$

                                 = $\frac{13}{20}$

Hence The ratio of their savings is 13:20