Question

3. The income of S, T and U are in the ratio of 7:9:6 and their expenses in the ratio of
4:5:3. If S saves Rs 2000 out of an income of Rs 14000, then what will be the saving
(in Rs) of T?
​

Answer 1

Given:

Ratio of income of S, T and U = 7:9:6

The ratio of their expenses = 4:5:3

Savings of S = Rs. 2000

Income of S = Rs. 14000

To find:

The saving of T in Rs.

Solution:

Expenditure of S = Income of S - His savings

= Rs. 14000- 2000 = Rs. 12000

Since ratio of income = 7:9:6

7* Income of S = 9* Income of T

7* 14000 = 9* Income of T

Income of T = 7*14000/ 9

Income of T = Rs. 10888.8889

Since Ratio of expenses = 4:5:3

4* expenses of S = 5* Expenses of T

Expenses of T = 4*12000/ 5

Expenses of T = Rs. 9600

Therefor savings of T = His income - Expenditure

= Rs. 10888.8889 - 9600

= Rs. 1288.8889

Therefore the savings of T = Rs. 1288.8889.

Answer 2

SOLUTION

GIVEN

• The income of S, T and U are in the ratio of 7:9:6

• Their expenses in the ratio of 4:5:3

• S saves Rs 2000 out of an income of Rs 14000,

TO DETERMINE

The saving (in Rs) of T

EVALUATION

Here it is given that the income of S, T and U are in the ratio of 7 : 9 : 6

Let the income of S , T and U are 7x , 9x , 6x

So by the given condition

$\sf{7x = 14000}$

$\implies \sf{x = 2000}$

So

The income of S = Rs ( 7 × 2000 ) = Rs 14000

The income of T = Rs ( 9 × 2000 ) = Rs 18000

The income of U = Rs ( 6 × 2000 ) = Rs 12000

Now the expenses in the ratio of 4:5:3

Let expense of S, T, U are 4y, 5y, 3y respectively

Now S saves Rs 2000 out of an income of Rs 14000

So expense of S

= Rs ( 14000 - 2000 )

= Rs 12000

So by the given condition

$\sf{4y = 12000}$

$\sf{ \implies \: y = 3000}$

So expense of T

= Rs ( 5 × 3000 )

= Rs 15000

Hence savings of T

= Rs ( 18000 - 15000 )

= Rs 3000

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