Home
Class 10
MATHS
The price of a diamond is rs 2000 . The...

The price of a diamond is rs 2000 . The diamond is broken into to equal weights . If the price of a diamond varies as the square of its weights , then find the amound of loss for the breakage.

Text Solution

Verified by Experts

The correct Answer is:
rs 1000
Promotional Banner

Topper's Solved these Questions

  • VARIATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|59 Videos
  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

The price of a diamond is ₹ 2000. The diamond is broken into two pieses of equal weights. If the price of a diamond varies as the square of its weight, then find the amount of loss for the breakage.

A valuable piece of stone whose price is rs 15600 breaks into three pieces whose weights are in the ratio 2:3:5 . If the value of the stone varies as the cube of its weights , find the percentage of loss due to breaking .

A piece of diamond is broken into three pieces, the weights of the pieces being in the ratio 1: 2:3 . Price of a piece of diamond is proportional to the square of its weight . Find the price of the original piece , if the loss due to breakage is rs 22000 .

The value of diamond varies as the square of its weight . A diamond broke into three pieces whose weights are in the ratio 3:4:5 . For this there is a loss rs 9400. Find the value of the original diamond .

The external diameter of a gold - sphere is 12 cm and it is made of a gold - plate of thichness 1 cm. If the weight of 1 cc gold be 19*5 gm and the price of 1 gm gold is ₹ 1280, then find the total price of the gold - sphere.

If the price of shoe is written as Rs. 99.99, let us find what will be its approximate value.

A hollow right circular cone of height h and of semivertical angle theta is placed with its base on a horizontal table. If the cone is filled with a liquid of density rho and the weight of the empty cone is equal to the weight of the liquid that it contains, find the thrust of the liquid on the base of the cone and the pressure exerted on the table.

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.

CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
  1. Consumption of coal by an engine varies as the square of its speed. Wh...

    Text Solution

    |

  2. A piece of diamond is broken into three pieces, the weights of the pie...

    Text Solution

    |

  3. Three rings made of gold and set with diamonds are of the same weight...

    Text Solution

    |

  4. The value of diamond varies as the square of their weights and the squ...

    Text Solution

    |

  5. The price of a diamond is rs 2000 . The diamond is broken into to equ...

    Text Solution

    |

  6. A valuable piece of stone whose price is rs 15600 breaks into three pi...

    Text Solution

    |

  7. If x prop (1)/(y^2) then in what ratio x changes when y changes at a r...

    Text Solution

    |

  8. if x prop z and y prop z, then xy prop z .

    Text Solution

    |

  9. if (px^3+qy^3) prop (ax^3+by^3),then show that x prop y

    Text Solution

    |

  10. If (x^6+(1)/(y^6)) prop (x^6-(1)/(y^6)) , then prove that y prop 1/x .

    Text Solution

    |

  11. If (1)/(y^n)+(1)/(z^n)prop (1)/(Y^n+z^n) then prove that y prop z .

    Text Solution

    |

  12. if x prop (z)/(y^2) and z^2 prop (y) /(x) then prove that x prop (1)/(...

    Text Solution

    |

  13. If a prop b^4 ,b^5 prop c^6 , c^7 prop d^8 and d^9 prop p^4 then prov...

    Text Solution

    |

  14. If x prop yz^2 ,y prop pq^2 and zoo q/p then prove that q^4 prop px.

    Text Solution

    |

  15. If x prop y and y prop z , then prove that (x^7+y^7 +z^7) prop (x^5y^...

    Text Solution

    |

  16. If x prop y and y prop z, then show that (x^m+y^m+z^m) prop (x^3y^(...

    Text Solution

    |

  17. (px+qy+rz) prop (msqrt(yz)+nsqrt(zx)+tsqrt(xy)) (where P,q,r,m,n,t ar...

    Text Solution

    |

  18. If a prop b^(2) , b^(3) prop c^(4) , c^(5) prop d^(6) and d^(7) prop e...

    Text Solution

    |

  19. In the speech of a professor , the number of students present in the s...

    Text Solution

    |

  20. The attraction force of a satellite of any planet varies directly with...

    Text Solution

    |