Home
Class 12
MATHS
A trust fund has Rs 30,000 that must ...

A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the tw

Text Solution

Verified by Experts

The correct Answer is:
(a) Rs. 15000, Rs. 15000 (b) Rs. 5000, Rs. 25000
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT GUJARATI|Exercise EXERCISE 3.3|14 Videos

  • MATRICES

    NCERT GUJARATI|Exercise EXERCISE 3.4|18 Videos

  • MATRICES

    NCERT GUJARATI|Exercise EXERCISE 3.1|10 Videos

  • LINEAR PROGRAMMING

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 Videos

Similar Questions

Explore conceptually related problems

A sum of Rs 1000 is invested at 8% simple interest per year. Calculate the interest at the end of each year. Do these interests for an AP. If so , find the interest at the end of 30 years making use of this fact.

A sum of 1000 is invested at 8% simple interest per year. Calculate the interest at the end of each year. Do these interests form an AP? If so, find the interest at the end of 30 years.

In which of the following situations, does the list of numbers involved make an arithmetic progression , and why ? The amount of money in the account every year, when Rs 10,000 is deposited at compound interest at 8% per annum.

NCERT GUJARATI-MATRICES-EXERCISE 3.2
  1. Compute the indicated products: (i) [(a,b),(-b,a)][(a,-b),(b,a)] (i...

    Text Solution

    |

  2. if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]a...

    Text Solution

    |

  3. A=[[2/3,1,5/3],[1/3,2/3,4/3],[7/3,2,2/3]] and B=[[2/5,3/5,1],[1/5,2/5,...

    Text Solution

    |

  4. Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sint...

    Text Solution

    |

  5. 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[2,-2],[-1,5]]

    Text Solution

    |

  6. Find X, if Y=[3 2 1 4]and 2X+Y=[1 0-3 2]

    Text Solution

    |

  7. Find the values of x and y, if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2) :}]...

    Text Solution

    |

  8. Find x ,\ y ,\ z ,\ t if 2[x z y t]+3[1-1 0 2]=3[3 5 4 6] .

    Text Solution

    |

  9. ifx[{:(2),(3):}]+Y[{:(-1),(1):}]=[{:(10),(5):}],find the values of X ...

    Text Solution

    |

  10. Given 3[x y z w]-[x6-1 2w]+[4x+y z+w3] , find the values of x, y, z an...

    Text Solution

    |

  11. If F(x) =[(cos x, -sin x,0),(sin x,cos x,0),(0,0,1)] show that F(x)F(y...

    Text Solution

    |

  12. show that (i) [{:(5,-1),(6,7):}][{:(2,1),(3,4):}]ne[{:(2,3),(3,4):}...

    Text Solution

    |

  13. Find A^2-5A+6I , if A=[2 0 1 2 1 3 1-1 0]

    Text Solution

    |

  14. If A=[1 0 2 0 2 1 2 0 3] , prove that A^3-6A^2+7A+2I=0

    Text Solution

    |

  15. If A A=[3-2 4-2]and I=[1 0 0 1], find k so that A^2=k A-2I.

    Text Solution

    |

  16. Let A=[0-tan(alpha//2)tan(alpha//2)0] and I be the identity matrix ...

    Text Solution

    |

  17. A trust fund has Rs 30,000 that must be invested in two different t...

    Text Solution

    |

  18. The bookshop of a particular school has 10 dozen chemistry books, 8...

    Text Solution

    |

  19. Assume X, Y, Z, W and P are matrices of order 2 xxn , 3 xxk , 2 xxp...

    Text Solution

    |

  20. Assume X, Y, Z, W and P are matrices of order 2 xxn , 3 xxk , 2 xxp...

    Text Solution

    |