Home
Class 10
MATHS
Jamila sold a table and a chair for Rs. ...

Jamila sold a table and a chair for Rs. 1050, thereby making a profit of 10% on the table and 25 % on the chair. If she had taken a profit of 25 % on the table and 10% on the chair, she would have got Rs. 1065. Find the cost price of each.

Text Solution

Verified by Experts

The correct Answer is:
Cost price of table =Rs. 500,
Cost price of chair =Rs. 400
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Objective Questions (Fill in the blanks)|5 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Objective Questions|10 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise EXERCISE 3.7 (Optional)|12 Videos
  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos
  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

Represent the folloowing situations in the form of quadratic equations : (1) The length of the hypotenus of an isosceles right angled triangle is 10 cm. We need to find the length of each of two equal sides. (2)The sum of squares of two consecutive odd positive integers in 970. We need to find those integers. (3) While selling an article for Rs. 96, the profit in percentage is equal to its cost price in rupees. We need to find the cost price of the article. (4) When there is a decreases of 10 km/h in the usual speed of a train, it takes 4(1)/(2) hours more to cover 900km. We need to find the usual speed of the train. (5) The sum of squares of two parts of 31 is 481. We need to find those two parts.

Kavya invests total sum of Rs. 40,000. She ivests certain sum at 6% p.a. rate of interest and the remaining sum at 8% p.a. rat of interest. If her annual income from interest is Rs. 3000, find the sums invested at each rate.

(Manufacturing problem) A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table : She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit ?

A man owns a field of area 1000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1400 to purchase young trees. He has the choice of two types of trees. Type A requires 10 sq.m. of ground per tree and costs Rs. 20 per tree and type B requires 20 sq.m. of ground per tree and costs Rs. 25 per tree. When fully grown type A produces an average of 20 kg. of fruit which can be sold at a profit of Rs. 2/ - per kg and type B produces an average of 40 kg of fruit which can be sold at a profit of Rs. 1.50/ - per kg. How many of each type should be planted to achieve maximum profit when the trees are fully grown ?

Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm times 20 cm times 5 cm and the smaller of dimensions 15 cm times 12 cm times 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000 cm^(2) , find the cost of cardboard required for supplying 250 boxes of each kind.

In a development plan of a city, a contractor has taken a contract to construct certain houses for which he needs building materials like stones, sand etc. There are three firms A, B, C that can supply him these materials. At one time these firms A, B, C supplied him 40, 35 and 25 truck loads of stones and 10, 5 and 8 truck load of sand.If the cost of one truckload of stone and sand are Rs 1200 and 500 respectively, find the total amount paid by the contractor to each of these firms A, B, C separately.

A manufacturer produces two models of bikes model X and model Y. Model X takes a 6 man hours to make per unit, while Model Y takes 10 man-hours per unit. There is a total of 450 man-hour available per week. Handling and Marketing costs are Rs. 2000 and Rs. 1000 per unit for Models X and Y respectively. The total funds available for these purposes are Rs. 80,000 per week. Profits per unit for Models X and Y are Rs. 1000 and Rs. 500, respectively. How many bikes of each model should the manufacturer produce, so as to yield a maximum profit ? Find the maximum profit.

An adult weighting 600 N raises the centre of gravity of his body by 0.25 m while taking each step of 1 m length in jogging. If he jog for 6 km, calculate the energy utillised by him in jogging assuming that there is no energy loss due to friction of ground and air. Assuming that the body of the adult is capable of converting 10% of energy intake in the form of food. calculate the energy equivalents of food that would required to compensate energy utilised for jogging.

KUMAR PRAKASHAN-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -Practice Thoroughly
  1. In the given figure, ABCD is a rectangle, Find the values of x and y.

    Text Solution

    |

  2. For what value of k, will the graphs of following pair of linear equat...

    Text Solution

    |

  3. If ax + by = a^(2)-b^(2) and bx + ay = 0, find the value of x + y.

    Text Solution

    |

  4. For what values of a and b does the following pair of linear equations...

    Text Solution

    |

  5. Given the linear equation x - 2y - 6 = 0, write another linear equatio...

    Text Solution

    |

  6. Find whether the following pair of linear equations is consistent or i...

    Text Solution

    |

  7. Draw the graphs of the equations x = 3, x = 5 and 2x - y - 4 = 0. Also...

    Text Solution

    |

  8. The cost of 4 pens and 4 pencil boxes is Rs. 100. Three times the cost...

    Text Solution

    |

  9. Determine algebraically the vertices of the triangle formed by lines 3...

    Text Solution

    |

  10. The sum of a two digit number and the number formed by interchanging i...

    Text Solution

    |

  11. 90 % pure and 97% pure acid solutions are mixed to obtain 21 litres of...

    Text Solution

    |

  12. The incomes of two persons A and B are in the ratio 8:7 and the ratio ...

    Text Solution

    |

  13. Three lines x + 3y = 6, 2x - 3y = 12 and x = 0 are enclosing a beautif...

    Text Solution

    |

  14. A fraction becomes (19)/(23) if 2 is added to both its numerator and ...

    Text Solution

    |

  15. Jamila sold a table and a chair for Rs. 1050, thereby making a profit ...

    Text Solution

    |

  16. A railway half ticket costs half the full fare, but the reservation ch...

    Text Solution

    |

  17. Vijay had some bananas and he divided them into two lots A and B. He s...

    Text Solution

    |

  18. In a competitive examination, one mark is awarded for each correct an...

    Text Solution

    |

  19. If x-1 is a factor of 2x^(3)+ax^(2)+2bx+1 and 2a-b=4. Find the values ...

    Text Solution

    |

  20. Solve for x and y:2^(x)+3^(y)=17 and 2^(x+2)-3^(y+1)=5.

    Text Solution

    |