Question

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The ratio of incomes of two persons is 9: 7 and the ratio of their expenditures is 4:3. If
each of them manages to save 2000 per month, find their monthly income.​

Answer 1

Answer:

Let the income of the first person = 9x

Income of the second person = 7x

Let the expenditure of first person = 4y

Expenditure of the second person = 3y

According to Question ,

Each of them manages to save ₹2000 per month....

➪So, 9x - 4y = 2000....(1)

➪7x - 3y = 2000....(2)

➪ Multiply 3 to (1) and 4 to (2)....

we get,

➪27x - 12y = 6000

➪28x - 12y = 8000 [ here the signs change ]

- x = - 2000

➪x = 2000

Substitute x = 2000 in (1) ,

➪9 (2000) - 4y = 2000

➪18000 - 4y = 2000

➪18000 -2000 = 4y

➪16000 = 4y

➪ y = 4000

❦ x = 2000 ; y = 4000

______________________________________

➪ Income of 1 st person = 9x = ₹ 18000

➪ Income of 2 nd person = 7x = ₹ 14000

Step-by-step explanation:

Answer 2

Hello mate..

Here Is Your Answer:

GIVEN:

Ratio of incomes of two persons is 9:7

i.e., their incomes maybe ₹9x and ₹7x.

And the ratio of their expenditure is 4:3.

i.e., their expenditure maybe ₹4y, ₹3y.

Then by problem,

⠀⠀⠀9x - 4y = 2000⠀⠀⠀⠀⠀⠀....(1)

and 7x - 3y = 2000⠀⠀⠀⠀⠀⠀....(2)

equation (1) × 7 = 63x - 28y = 14000

equation (2) × 9 = 63x - 27y = 18000

equation (1) - (2)

-y = -4000

i.e., y = 4000

Substituting y = 4000 in equation (1)

we get

$\bold{9x - 4 × 4000 = 2000} \\ \bold{9x = 2000 + 16000 }\\ \bold{9x = 18000} \\ \bold{x = \frac{18000}{9} } \\ \bold{ = 2000}$

Therefore, their incomes are

$\bold{9x = 9 \times 2000 }\\ \bold{x = ₹18000}$

And,

$\bold{7x = 7 \times 2000}\\ \bold{ = ₹14000}$

HOPE THIS HELPS YOU..