Question

incomes of A B,C are in the ratio 1:2:3 while their expenditure are in the ratio 2:3:4 if A saves one third of his income , find the ratio of their savings​...
.
Hi Armies☆​

Answer 1

Answer:

Hope this helps

Mark me brainliest

Answer 2

$\huge\bf\underline{\underline{\pink{A} \orange{N}\blue{S}\red{W}\green{E} \purple{R}}}$

Given :

Incomes of A B,C are in the ratio 1:2:3 while their expenditure are in the ratio 2:3:4. A saves one third of his income.

To find :

Find the ratio of their savings?

Solution :

Given that

The ratio of the incomes of

A,B and C=1:2:3

Let they be Rs. X, Rs. 2X and Rs. 3X

The income of A = Rs. X

The income of B = Rs. 2X

The income of C = Rs. 3X

The ratio of the expenditures of

A, B and C = 2:3:4

Let they be Rs. 2Y, Rs. 3Y and Rs. 4Y

The expenditure of A = Rs. 2Y

The expenditure of B = Rs. 3Y

The expenditure of C = Rs. 4Y

We know that

Saving Income - Expenditure

The saving of A = Income of A -

Expenditure of A

=> The saving of A =Rs. (X-2Y)

According to the given problem

The saving of A = 1/3 of the income of A

X-2Y = (1/3) of X

=> X-2Y = (1/3)XX

=> X-2Y = (1xX)/3

=> X-2Y = X/3

=> 3(X-2Y) = X

=> 3X-6Y = X

=> 3X-X = 6Y

=> 2X = 6Y

=> X / Y = 6/2

=> X / Y = 3/1

=> X / Y = 3

=> X = 3Y -(1)

of C -

Now,

Saving of A = Income of A- Expenditure of A

=> X-2Y

=> 3Y-2Y. (From (1)

=> Y

The saving of A = Y

The saving of B = Income of B - Expenditure of B

The saving of B = 2X-3Y

=> The saving of B = 2(3Y)-3Y

=> The saving of B = 6Y-3Y

The saving of B = 3Y

The saving of C = Income Expenditure of C

=> The saving of C = 3X-4Y

=> The saving of C = 3(3Y)-4Y

=> The saving of C = 9Y-4Y

The saving of C = 5Y

The ratio of the savings of A. B and C

=> Y : 3Y: 5Y

=> 1:3:5

Answer:

The ratio of the savings of A,B and C is 1:3:5

Used formulae:

→ Saving - Income - Expenditure