Home
Class 12
MATHS
The cost of 4 kg onion, 3 kg wheat and 2...

The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion, 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method.

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

Similar Questions

Explore conceptually related problems

The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. That: cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion, 2 kg wheat and 3 kg rice is Rs 70. Find the cost of each item per kg. by using matrix method.

Cost of 5kg of wheat is Rs.30.50. What will be the cost of 8 kg of wheat?

Find the cost of sugar and wheat per kg., if the cost of 7kg. Of sugar and 3 kg, of wheat is Rs. 210. cost of 7kg. wheat and 3 kg, of sugar is Rs. 160. (Use determinants).

The cost of 2 kg of apples and 1kg of grapes on a day ws found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Cost of 5kg of wheat is Rs.30.50. What quantity of wheat can be purchased in Rs.61?

Length of a room is 1 1/3 times its breadth and its height is 1/2 times its length. The cost of white washing the walls at the rate of Rs 2.60per m^2 is Rs 291.20. find the cost of tiling the floor at the rate of Rs 8 per m^2 .

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Solve system of linear equations, using matrix method: 5x+2y=3, 3x+2y=...

    Text Solution

    |

  2. If A = [[2,-3,5],[3,2,-4],[1,1,-2]] find A^-1. Using A^-1 solve the s...

    Text Solution

    |

  3. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of...

    Text Solution

    |

  4. Prove that the determinant |[x,sintheta,costheta],[-sintheta,-x,1],[co...

    Text Solution

    |

  5. Without expanding the determinant, prove that |[a,a^2,bc],[b,b^2,ca],[...

    Text Solution

    |

  6. Evaluate |[cosalphacosbeta,cosalphasinbeta,-sinalpha],[-sinbeta,cosbet...

    Text Solution

    |

  7. If a, b and c are real numbers, and triangle = |[b+c,c+a,a+b],[c+a,a+b...

    Text Solution

    |

  8. Solve the equation |[x+a,x,x],[x,x+a,x],[x,x,x+a]| = 0 a ne 0

    Text Solution

    |

  9. Prove that: |[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c...

    Text Solution

    |

  10. If A^-1 = [[3,-1,1],[-15,6,-5],[5,-2,2]] and B = [[1,2,-2],[-1,3,0],[0...

    Text Solution

    |

  11. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that [adj A]^-1 = adj (A^-1...

    Text Solution

    |

  12. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that (A^-1)^-1 = A

    Text Solution

    |

  13. Evaluate |[x,y,x+y],[y,x+y,x],[x+y,x,y]|

    Text Solution

    |

  14. Evaluate |[1,x,y],[1,x+y,y],[1,x,x+y]|

    Text Solution

    |

  15. Using properties of determinants, prove that: |[alpha,alpha^2,beta+gam...

    Text Solution

    |

  16. Using properties of determinants, prove that: |[x,x^2,1+px^3],[y,y^2,1...

    Text Solution

    |

  17. Solve by matrix method 2/x + 3/y + 10/z = 4 , 4/x - 6/y + 5/z = 1 , ...

    Text Solution

    |

  18. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

    Text Solution

    |

  19. Let A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], wher...

    Text Solution

    |

  20. Fill in the blanks : If A = [(1,a,3),(2,b,6),(3,c,9)], then det A is...

    Text Solution

    |