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.
Add Comment
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.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.