Home
Class 11
MATHS
A manufacturer reckons that the value of...

A manufacturer reckons that the value of a machine, which costs him Rs. 15625, will depreciate each year by 20%. Find the estimated value at the end of 5 years.

Text Solution

Verified by Experts

The correct Answer is:
N/a

`"Cost after 1 year "=15625xx(1-(20)/(100))`
`"Cost after 2 year "=15625xx(1-(20)/(100))^(2)`
`"Cost after 5 year "=15625xx(1-(20)/(100))^(5)=15625xx((4)/(5))^(5)`
`=15625xx(4xx4xx4xx4xx4)/(5xx5xx5xx5xx5)=5120`
`therefore "Cost after 5 years "= Rs 5120`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9.4|10 Videos
  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos
  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

The value of a machine depreciates every year by 5%. If the present value of the machine be Rs 100000, what will be its value after 2 years?

The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs 97,200, find it value after 2 years

A sum of Rs. 400 is lent at the rate of 5% per annum. Find the interest at the end of 2 years.

A manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the orginal value (cost of the machine, if it depreciates by रु 5,355 during the second year.

The value of a machine depreciates every year by 10%. What will be its value after 2 years if its present value is Rs 50,000?

The value of an article decreased for two years at the rate of 10% per year and then in the third year it increased by 10%. Find the original value of the article, if its value at the end of 3 years is Rs Rs 40,095

The value of an article decreased for two years at the rate of 10% per year and then in the third year it increased by 10%. Find the original value of the article, if its value at the end of 3 years is Rs 40,095

A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

The cost of a machine is supposed to : depreciate each year by 12% of its value at the beginning of the year. If the machine is valued at Rs 44,000 at the beginning of 2008, find its value: at the end of 2009

The cost of a machine is supposed to : depreciate each year by 12% of its value at the beginning of the year. If the machine is valued at Rs 44,000 at the beginning of 2008, find its value: at the beginning of 2007.

NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Miscellaneous Exercise
  1. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0),then show that...

    Text Solution

    |

  2. LetS be the sum, P the product, and R the sum of reciprocals of n term...

    Text Solution

    |

  3. The p^(t h),q^(t h)and r^(t h)terms of an A.P. are a, b, c, respectiv...

    Text Solution

    |

  4. If a (1/b+1/c),b(1/c+1/a),c(1/a+1/b)are in A.P., prove that a, b, c a...

    Text Solution

    |

  5. If a, b, c, d are in G.P., prove that (a^n+b^n),(b^n+c^n),(c^n+a^n)ar...

    Text Solution

    |

  6. If a and b are the roots of x^2-3x+p=0and c, d are roots of x^2-12 x+...

    Text Solution

    |

  7. The ratio of the A.M. and G.M. of two positive numbers a and b, is m ...

    Text Solution

    |

  8. If a ,\ b ,\ c are in A.P. b ,\ c ,\ d are in G.P. and 1/c ,1/d ,1/e a...

    Text Solution

    |

  9. Find the sum of the following series up to n terms: (i) 5" "+" "55" "+...

    Text Solution

    |

  10. Find the 20th term and the sum of 20 terms of the series: 2xx4+4xx6+6x...

    Text Solution

    |

  11. Find the sum of first n terms of the following series: 3+7+13+21+31+ d...

    Text Solution

    |

  12. If S1,S2,S3are the sum of first n natural numbers, their squares and ...

    Text Solution

    |

  13. Find the sum o the following series to n terms: (1^3)/1+(1^3)/(1+3)+(1...

    Text Solution

    |

  14. Show that (1xx2^2+2xx3^2+dotdotdot+nxx(n+1)^2)/(1^2xx2+2^2xx3+dotdotdo...

    Text Solution

    |

  15. A farmer buys a used tractor for Rs. 12000. He pays Rs. 6000 cash and ...

    Text Solution

    |

  16. Shamshad Ali buys a scooter for Rs. 2200. He pays Rs. 4000 cash and ...

    Text Solution

    |

  17. A person writes a letter to four of his friends. He asks each one of...

    Text Solution

    |

  18. A man deposited Rs 10000 in a bank at the rate of 5% simple interes...

    Text Solution

    |

  19. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |

  20. 150 workers were engaged to finish a piece of work in a certain number...

    Text Solution

    |