Adv
Rajan@2021
  • 0
Guru

The monthly incomes of A and B are in the ratio of 5 : 4 and their monthly expenditures are in the ratio of 7 : 5. If each saves Rs. 9000 per month, find the monthly income of each.

  • 0

This is the basic and conceptual question from linear equations in two variables in which we have to find the monthly income of a and b if their monthly expenditures ratio is given and it is also given that each saves 9000 per month.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3E, question no 29

Share

Related Questions

1 Answer

  1. Given ratio of incomes =5:4
    And the ratio of their expenditures =7:5
    Saving of each person = Rs. 3000

    Let incomes of two persons
    =5x and 4x
    And their expenditures =7y and 5y
    According to the question, 5x7y=3000(i)
    4x5y=3000( ii )
    On multiplying Eq. (i) by 4 and Eq. (ii) by 5 to make the coefficients of x equal, we get
    20x28y=12000( iii )
    20x25y=15000( iv )
    On subtracting Eq. (iii) from (iv), we get
    20x25y20x+28y=1500012000
    3y=3000
    y=1000
    On putting the y=1000 in Eq. (i), we get
    5x7y=3000
    5x7(1000)=3000
    5x=10000
    x=2000
    Thus, monthly income of both the persons are 5(2000) and 4(2000) , i.e.
    Rs10000 and Rs.8000

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.