Arithmatical - Compound Interest

DIRECTIONS : Problems based on Interest.
9. If the simple interest on a sum of money at 5% per annum for 3 years is Rs.1200, find the compound interest on the same sum for the same period at the same rate.
  A.  1251
  B.  1261
  C.  1271
  D.  1281
Solution
Clearly, Rate= 5% p.a.
Time= 3 years
S.I=Rs.1200.
So,Principal=Rs.(100 x 1200/3x5)
=Rs.8000.
Amount=Rs.[8000 x (1+5/100)³]
=Rs(8000x21/20x21/20x21/20)
= Rs.9261
C.I=Rs.(9261-8000)
=Rs.1261.
10. What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?
  A.  Rs.9000.30
  B.  Rs. 9720
  C.  Rs. 10123.20
  D.  Rs. 10483.20
Solution
Amount= Rs.(25000x(1+12/100)³
=Rs.(25000x28/25x28/25x28/25)
= Rs. 35123.20.
C.I=Rs(35123.20-25000)
=Rs.10123.20.

11. The compound interest on Rs.30,000 at 7% per annum is Rs.4347. The period (in years) is
  A.  2
  B.  2½
  C.  3
  D.  4
Solution
Amount =Rs(30000 + 4347)
= Rs.34347.
Let the time be n years.
Then, 30000(1+7/100)^n
= 34347.
=34347/3000
=11449/1000
=(107/100)^n
n= 2years.
12. The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
  A.  Rs.150.50
  B.  Rs.154.75
  C.  Rs.156.25
  D.  Rs.158
Solution
Present Worth= Rs.[169/(1+4/100)²]
= Rs.(169x25/26x25/26)
= Rs.156.25
Page 3 of 5 12 345