Home
Class 10
MATHS
The ratio of incomes of two persons is ...

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 Rs 2000 per month, find their monthly incomes.

Text Solution

Verified by Experts

Let income of first person `= 9x`
Then, income of second person `= 7x`
Let expenditutres of first person `= 4y`
Then, expenditutres of second person `= 3y`
Now, we are given,
`9x-4y = 2000->(1)`
`7x-3y = 2000->(2)`
From (1) and (2),
...
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise EXERCISE 3.3|3 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise EXERCISE 3.6|2 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise Exercise 3.2|7 Videos
  • NCERT THEOREMS

    NCERT|Exercise THEOREM 10.1|2 Videos
  • POLYNOMIALS

    NCERT|Exercise EXERCISE 2.4|5 Videos

Similar Questions

Explore conceptually related problems

The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them saves Rs 200 per month,find their monthly incomes.

The ratio of incomes of two person is 8 : 5 and the ratio of their expenditure is 2 : 1. If each of them manages to save ? 1000 per month , find the difference of their month income.

The incomes ratio of two persons A and B are in the ratio 8:7 and the ratio of their expenditures is 19:16 . If their saving are Rs 2550 per month, then their monthly incomes.

The monthly incomes if Amit and Atul are in the ratio 6 , 5 .The ratio of their expenditure is 5 , 4 If each of them saves Rs 2500 per month , Find their monthly incomes . (i) Use the variable x to write their monthly incomes .

The monthly incomes if Amit and Atul are in the ratio 6 , 5 .The ratio of their expenditure is 5 , 4 If each of them saves Rs 2500 per month , Find their monthly incomes . (ii) use the variable y to write their monthly expenditure .

The monthly incomes if Amit and Atul are in the ratio 6 , 5 .The ratio of their expenditure is 5 , 4 If each of them saves Rs 2500 per month , Find their monthly incomes . Form simultaneous equations and solve .

The ratio of incomes of two persons A and B is 3:4 and the ratio of their expenditures is 5:7 . If their savings are Rs.15,000 annually find their annual incomes.

The ratio of monthly income of x and y is 3 : 5 and the ratio of their expenditures is 1 : 2. If each saves Rs 5000 per month, then what will be the monthly income of x?

The ratio of monthly income of x and y is 3 : 5 and the ratio of their expenditures is 1 : 2. If each saves Rs 5000 per month, then what will be the monthly income of x?

NCERT-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-Solved Examples
  1. Check whether the pair of equations x+3y=6 . . . (1)and 2x 3y=12 . . ....

    Text Solution

    |

  2. Graphically, find whether the following pair of equations has no solu...

    Text Solution

    |

  3. Champa went to a 'Sale' to purchase some pants and skirts. When her f...

    Text Solution

    |

  4. Solve the following pair of equations by substitution method : 7x 15...

    Text Solution

    |

  5. Akhila goes to a fair with Rs 20 and wants to have rides on the Giant...

    Text Solution

    |

  6. Romila went to a stationery shop and purchased 2 pencils and 3 eraser...

    Text Solution

    |

  7. Two rails are represented by the equations x+2y-4=0\ a n d\ 2x+4y-12=...

    Text Solution

    |

  8. Solve question by the method of substitution. Aftab tells his daug...

    Text Solution

    |

  9. Let us consider Example 2 in Section 3.3, i.e., the cost of 2 pencils...

    Text Solution

    |

  10. Solve the pair of equations : 2/x+3/y=13,5/x-4/y=-2

    Text Solution

    |

  11. For what values of k will the following pan of linear equations have ...

    Text Solution

    |

  12. For which values of p does the pair of equations given below has uniq...

    Text Solution

    |

  13. From a bus stand in Bangalore. if we buy 2 tickets to Malleswaram and...

    Text Solution

    |

  14. The sum of a two–digit number and the number obtained by reversing th...

    Text Solution

    |

  15. Use elimination method to find all possible solutions of the followin...

    Text Solution

    |

  16. The ratio of incomes of two persons is 9:7and the ratio of their exp...

    Text Solution

    |

  17. Let us consider the Example 3 of Section 3.2. Will the rails cross ea...

    Text Solution

    |

  18. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 ho...

    Text Solution

    |

  19. Solve the following pair of equations by reducing them to a pair of l...

    Text Solution

    |