Question

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

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Answer 2

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

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

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

Step-by-step explanation: