A Certain Sum Amounts to ₹ 1725 at 15% per Annum at Simple Interest :

A certain sum amounts to ₹ 1725 at 15% per annum at simple interest and ₹ 1800 in the same time at 20% per annum at simple interest. Find the sum.

  1. ₹ 1700
  2. ₹ 1500
  3. ₹ 1650
  4. ₹ 1200
Anurag Mishra Professor Asked on 7th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) Rs. 1500

    Explanation:-
    Let the principal be Rs. X

    If rate of simple interest per annum = 15%, Amount = Rs. 1725

    And rate of simple interest per annum = 20 %, amount = Rs. 1800
    Then, 5% of principal = 1800 – 1725 = Rs. 75

    Therefore, 100% principal = 75 x 100/5
    = 75 x 20
    = Rs. 1500

    Then, the principal is Rs. 1500.

    Hence, the answer is (2) Rs. 1500.

    Anurag Mishra Professor Answered on 7th October 2015.
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