Home
Class 12
MATHS
The bookshop of a particular school has ...

The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dezon economics books. Their selling prices are Rs. 80, Rs. 60 and Rs. 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

Text Solution

Verified by Experts

The correct Answer is:
Rs. 20160
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT TAMIL|Exercise EXERCISE 3.3|12 Videos
  • MATRICES

    NCERT TAMIL|Exercise EXERCISE 3.4|18 Videos
  • MATRICES

    NCERT TAMIL|Exercise EXERCISE 3.1|10 Videos
  • LINEAR PROGRAMMING

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|5 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE 10.9|25 Videos

Similar Questions

Explore conceptually related problems

(Allocation problem) A cooperative society of farmers has 50 hectare of land to grow two crops X and Y. The profit from crops X and Y per hectare are estimated as rs. 10,500 and Rs. 9,000 respectively. To control weeds, a liquid herbicide has to be used for crops X and Y at rates of 20 litres and 10 litres pre hectare. Further, no more than 800 litres of herbicide should be used in order to protect fish and wild life using a pond which collects drainage from this land. How much land should be allocated to each crop so as to maximise the total profit of the society?

A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below: {:("Market",,"Products",),(I,"10,000","2,000","18,000"),(II,"6,000","20,000","8,000"):} (a) If unit sale prices of x, y and z are Rs. 2.50, Rs. 1.50 and Rs. 1.00, respectively, find the total revenue in each market with the help of matrix algebra. (b) If the unit costs of the above three commodities are Rs. 2.00, Rs. 1.00 and 50 paise respectively. Find the gross profit.

A pubisher is planning to produce a new textbook. The fixed costs (reviewing. Editing. Typesetting and so on) are Rs 320000. Besides that , he also spends another Rs. 31.25 in producing the book. The wholesale price (the amount recevied by the publisher) is Rs 43.75 per book. How many books must the publisher sell to break even, i.e. so that the cost of production will equal revenues?

A businessman bought some items for Rs. 600. Keeping 10 items for himself he sold the remaining items at a profit of Rs. 5 per item. From the amount received in this deal he could buy 15 more items. Find the original price of each item.

An amount of Rs 65,000 is invested in three bonds at the rates of 6 % , 8% and 10% per annum respectively. The total annual income is Rs 4,800. The income from the third bond is Rs 600 more than that from the second bond. Determine the price of each bond. (Use Gaussian elimination method. )

Packet I consists of 3 pens, 2 pencils and I note book, Packet II consists of 2 pens, 3 pencils for and 1 notebook, Packet lII consists of I pen, 4pencils and 2 notebooks packet .If a pen costs of Rs10 , a pencil costs Rs 5 and a notebook costs Rs 20. Using matrices find the cost of packet II?

An amount of Rs 7000 is invested in three types of investments x,y and z the rate of 3%, 4%, and 5% interst respectively. The total annual income is Rs 280. If the combined income from x and y is Rs 80 more than that from z, then (i) Represent the above situation in form of linear equations. (ii) Is it possible to frame the given linear equations in the form of matrix to obtain the three values x, y and z using matrix multiplication? If yes, find. (iii) Which value is more beneficial to invest?

NCERT TAMIL-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)] and C=[(...

    Text Solution

    |

  3. If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2...

    Text Solution

    |

  4. Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sint...

    Text Solution

    |

  5. Find X and Y, if (i) X+Y=[(7,0),(2,5)] and X-Y=[(3,0),(0,3)] (ii) ...

    Text Solution

    |

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

    Text Solution

    |

  7. Find x and y, if 2[(1,3),(0,x)]+[(y,0),(1,2)]=[(5,6),(1,8)]

    Text Solution

    |

  8. Solve the equation for x, y, z and t, if 2[(x, z),(y,t)]+3[(1,-1),(0,2...

    Text Solution

    |

  9. If x[(2),(3)]+y[(-1),(1)]=[(10),(5)], find the value of x and y.

    Text Solution

    |

  10. Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)], find the value...

    Text Solution

    |

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

    Text Solution

    |

  12. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6...

    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=[(3,-2),(4,-2)] and I=[(1,0),(0,1)], find k so that A^(2)=kA-2I

    Text Solution

    |

  16. If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)] and I is the identit...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |