Home
Class 12
MATHS
Three shopkeepers A ,\ B\ a n d\ C go to...

Three shopkeepers `A ,\ B\ a n d\ C` go to a store to buy stationary. `A` purchases 12 dozen notebooks, 5 dozen pens and 6 dozen pencils. `B` purchases 10 dozen notebooks, 6 dozen pens and 7 dozen pencils. `C` purchases 11 dozen notebooks, 13 dozen pens and 8 dozen pencils. A notebook costs 40 paise, a pen costs Rs. 1.25 and a pencil costs 35 paise. Use matrix multiplication to calculate each individuals bill.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5. Find the cost of 1 pen and 1 pencil.

5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5. Find the cost of 1 pen and 1 pencil.

Five pens cost Rs 115. How much will 7 pens cost ?

One notebook costs Rs. 10 and one pencil costs Rs. 2. What is the cost of x notebooks and y pencils?

37 pens and 53 pencils together cost Rs. 320, while 53 pens and 37 pencils together cost Rs. 400. Find the cost of a pen and that of a pencil.

One pencil costs Rs. 2 and one fountain pen costs Rs. 15. What is the cost of x pencils and y fountain pens?

If 7 pencils cost Rs 35, then the cost of one dozen pencils is

A dozen of pencils is the collection of _____pencils.

If 6 notebooks cost Rs 45, how much would 8 notebooks cost ?

If k pencils cost c cents, what is the cost in cents of p pencils?

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A and B are square matrices of the same order such that A B=B A ...

    Text Solution

    |

  2. Let A=[[1 ,1, 1],[ 3, 3, 3]] , B=[[3,1], [5, 2],[-2, 4]] and C=[[4,2],...

    Text Solution

    |

  3. Three shopkeepers A ,\ B\ a n d\ C go to a store to buy stationary....

    Text Solution

    |

  4. The cooperative stores of a particular school has 10 dozen physics ...

    Text Solution

    |

  5. In a legislative assembly election, a political group hired a public...

    Text Solution

    |

  6. A trust fund has Rs. 30000 that must be invested in two different ty...

    Text Solution

    |

  7. To promote making of toilets for women, an organisation tried to ge...

    Text Solution

    |

  8. There are two families A and B.In family A, there are 4 men, 6 women a...

    Text Solution

    |

  9. In a parliament election, a political party hired a public relations...

    Text Solution

    |

  10. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

    Text Solution

    |

  11. A trust invested some money in two types of bonds. The first bond pays...

    Text Solution

    |

  12. If A=[-1// 2// 3] and B=[-2\ \ -1\ \ -4] , verify that (A B)^T=B^T\ A^...

    Text Solution

    |

  13. If A=[[costheta -sintheta], [[sinthe...

    Text Solution

    |

  14. If A=[(1 2 2)[, (2 1 -2),(a 2 b)] is a matrix satisfying A A^T=9I3 , t...

    Text Solution

    |

  15. Find the values of x,y,z if the matrix A=[[0,2y,z],[x,y,-z],[x,-y,z]] ...

    Text Solution

    |

  16. Let A=[(2,-3),(-7, 5)] and B=[(1, 0),( 2,-4)] , verify that (2A)^T=2A^...

    Text Solution

    |

  17. If A=[[3] , [ 5] , [2] ] and B=[1\ \ 0\ \ 4] , verify that (A B)^T=B^T...

    Text Solution

    |

  18. Let A=[1-1 0 2 1 3 1 2 1]a n dB=[1 2 3 2 1 3 0 1 1]dot Find A^T ,B^T a...

    Text Solution

    |

  19. If A=[[-2],[4], [5]], B=[[1 ,3,-6]], verify that (A B)' = B'A'.

    Text Solution

    |

  20. If A=[[2 , 4 ,-1] , [-1 , 0 , 2]] , B=[[3 , 4], [-1 ,2] , [ 2 ,1]] , ...

    Text Solution

    |