If the Difference in Interests for Two Periods was Rs. 220, then each sum is:

Two equal sums of money were lent at simple interest at 10% per annum for 4 years and 5 years respectively. If the difference in interests for two periods was Rs. 220, then each sum is:

  1. Rs. 2200
  2. Rs. 2000
  3. Rs. 1800
  4. None of these
Anurag Mishra Professor Asked on 30th July 2015 in Maths.
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    Answer: (4) None of these
    Explanation:-
    Given-
    Rate = 10 %, T = 4 & 5 years  Difference of the  S I = Rs.220
    Let the principal is Rs.X.
    Formula-
    Simple Interest = P x R x T/100
    Where, P = principal , R = rate, & T = time.
    According to the question,
    P x 10 x 5/100 – P x 10 x 4/100 = 220
    P/2 – 2 P /5 = 220
    (5 P – 4 P)/5 = 220
    P = 220 x 5
    P = Rs.1100
    Hence, the principal is Rs.1100.

    Anurag Mishra Professor Answered on 30th July 2015.
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