Home
Class 12
MATHS
A farmer undertakes to pay off a debt of...

A farmer undertakes to pay off a debt of Rs. 2700 by monthly instalments. He pays Rs. 200 as the first instalment and increases every subsequent instalment by Rs. 25 over the immediate previous instalments. In how many instalments his debt will be cleared up ?

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Long Answer Type Questions)|52 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Multiple Choice Type Questions)|14 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Very Short Answer Type Questions)|18 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

A man arranges to pay off a debt of Rs. 12000 in 30 annual instalments which form an A.P. When 20 of the instalments are paid, he dies leaving a half of the debt unpaid. Find the value of the first instalment.

A man starts repaying a loan as first instalment of Rs. 100. If he increases the instalment by Rs 5 every month, what amount he will pay in the 30^("th") instalment?

A person pays Rs.975 in monthly instalments, each instalment is less than the former by Rs. 5. The amount of first instalment is Rs. 100. In what time will the entire amount be paid ?

A man borrows Rs. 840 and agrees to repay with a total interest of Rs. 240 in 12 instalments, each instalment being less than the preceding one by Rs. 8. What should be his first instalment ?

Shri A. K. Roy borrows Rs. 6000 to repay the amount with interest of Rs. 138 in 10 monthly instalments, each instalment being twice the preceding one. Find the second and last instalments.

Sri S. Roy borrows Rs. 32760 without interest and agrees to pay back in 12 monthly instalments, each instalment being twice the preceding one. Find the amounts of second and last instalments.

To verify the cash balance, the auditor of Jaya Bank Ltd. Employs his assistant to count cash in hand of Rs. 4500. At first he counts @ Rs. 150 per minute for 10 minutes only, at the end of which time he begins to count @ Rs.2 less every minute than he did in the previous minute. Ascertain how much time he will take to count Rs. 4500 ?

A man saved Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increase by Rs. 40 more than the saving of immediately previous month . His total saving from the start of service will be Rs. 11,040 after

A man borrows Rs. 19682 without interest and agrees to repay the money in 9 monthly instalments, each instalment being thrice the preceding one. After the seventh instalment has been paid, he wants to repay the balance in lump. How much has he to pay now ?

A farmer buys a used tractor for Rs 12000. He pays Rs 6000 cash and agrees to pay the balance in annual instalments of Rs 500 plus 12% interest on the unpaid amount. How much will the tractor cost him?

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Short Answer Type Questions)
  1. If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a...

    Text Solution

    |

  2. If the pth , qth and rth terms of an A.P. be P, Q and R respectively t...

    Text Solution

    |

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

    Text Solution

    |

  4. Let a(a != 0) is a fixed real number and (a-x)/(p x) = (a-y)/(qy) = (a...

    Text Solution

    |

  5. If a+c = 2b and ab + cd + ad = 3bc, prove that the four numbers a, b, ...

    Text Solution

    |

  6. Find the least value of n for which the sum of the series 20 + 28 + 36...

    Text Solution

    |

  7. The nth term of a series in A.P. is an + b. Find the sum of the series...

    Text Solution

    |

  8. Find the sum of the series 1^(2) - 2^(2) - 3^(2) - 4^(2) + 5^(2) - 6^(...

    Text Solution

    |

  9. The perpendicular of a right angled triangle is 9 cm and the three sid...

    Text Solution

    |

  10. If the xth term of an A.P. is (1)/(y) and its yth term is (1)/(x) then...

    Text Solution

    |

  11. An A.P. consists of n terms. If the sum of its first three terms is x ...

    Text Solution

    |

  12. If S be the sum of first (2n+1) terms of an A.P and the sum of terms i...

    Text Solution

    |

  13. The sum of first p terms of an A.P. is (p^(2))/(n) and the sum of its ...

    Text Solution

    |

  14. If the A.M. of (1)/(b-a) and (1)/(b-c) is (1)/(2(b-x)), then show that...

    Text Solution

    |

  15. A farmer undertakes to pay off a debt of Rs. 2700 by monthly instalmen...

    Text Solution

    |

  16. A person pays Rs.975 in monthly instalments, each instalment is less t...

    Text Solution

    |

  17. If 1 paisa is saved today, 2 paise next day, 3 paise succeeding day an...

    Text Solution

    |

  18. The cost of sinking a tubewell is 25 paise for the first metre and an ...

    Text Solution

    |

  19. The rate of monthly salary of an office assistant is increased annuall...

    Text Solution

    |

  20. The angles of a polygon are in A.P. lying common difference 5^(@). If ...

    Text Solution

    |