Which Amount Lent on at 8%? If

Prakash lends a part of ₹ 20,000 at 8% simple interest and remaining at 4/3 % simple interest. His total income after a year was ₹ 800. Find the sum lent at 8%.

  1. ₹ 8,000
  2. ₹12,000
  3. ₹6,000
  4. ₹10,000
Manish Listener Asked on 9th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) Rs.8000
    Explanation:-
    Let the amount lent at 8% rate = Rs.X.
    Then, the amount lent at 4/3% rate = Rs.(20,000 – X)
    According to the question,
    X x 8/100 + (2000 – X ) x 4/300 = 800
    8X/100 + (80,000 – 4X)/300 = 800
    (24X + 80,000  – 4X)/300 = 800
    20X + 80,000  = 800 x 300
    20X = 240000 – 80,000
    20X = 1,60,000
    X = 1,60,000/20
    X = 8000
    Hence, the answer is (1) Rs.8000.

    Anurag Mishra Professor Answered on 10th July 2015.
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