What will be the Sum and Rate of Interest? If

A certain sum at a certain rate of simple interest amounts to Rs.1200 in 4 years and Rs.1450 in 9 years. Find the sum and rate of interest:

  1. Rs. 500, 10%
  2. Rs. 800, 8%
  3. Rs.  900, 7%
  4. Rs. 1000, 5%
Desire Adnan Default Asked on 4th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) Rs.1000, 5 %

    Explanation:-
    Let the certain amount be Rs.X

    The amounts to Rs.1200 in 4 years and Rs.1450 in 9 years.
    The simple interest of 5 years = 1450 – 1200
    = Rs.250
    Therefore, simple interest of four years = 250 x 4/5
    = Rs. 200

    Principal = 1200 – 1000
    = Rs.1000

    Formula-
    Simple Interest = P x R x T/100
    Where, P = principal , R = rate, & T = time.

    Then, 200 = 1000 x 4 x R/100
    200  = 40 R
    R = 200/40
    R = 5 %.
    Then, the certain amount is Rs.1000  & the rate is 5 %.

    Hence, the answer is (4) Rs.1000, 5 %.

    Anurag Mishra Professor Answered on 7th August 2015.
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