Arithmatical - Compound Interest

DIRECTIONS : Problems based on Interest.
1. Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
  A.   Rs.512
  B.  Rs.552
  C.  Rs.612
  D.  Rs.622
Solution
Amount= Rs[7500x(1+4/100)²]
=Rs.(7500x26/25x26/25)
= Rs.8112.
C.I= Rs(8112 - 7500)
=Rs.612.
2. Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely.
  A.  Rs.2552
  B.  Rs.2512
  C.  Rs.2572
  D.  Rs.2592
Solution
Principal= Rs.16,000;
Time=9 months = 3 quarters;
Amount
=Rs.[16000x(1+5/100)³]
=[16000x21/20x21/20x21/20]
= Rs.18522.
C.I= Rs.(18522 - 16000)
= Rs.2522.

3. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is
  A.   Rs.1550
  B.  Rs.1650
  C.  Rs.1750
  D.  Rs.2000
Solution
C.I.=Rs[4000x(1+10/100)²-4000]
Rs.(4000x11/10x11/10-4000)= Rs.940.
Sum=Rs. [420x100 /3x8]
= Rs.1750.
4. Albert invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit ?
  A.  Rs.8600
  B.  Rs.8620
  C.  Rs.8840
  D.  Rs.8820
Solution
Amount=Rs.[8000x(1+5/100)²]
= Rs.
[8000 x 21/20x21/20]
= Rs.8820.
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