Compounded half-yearly, then rate=% and time=2*time

Compounded quarterly, then rate=% and time=4*time

**Problem1:** The compound interest earned on a sum in 3 years at 15% per annum compounded annually is RS.25002. Find the sum?

Solution: R=15% Time=3 year C.I=25002

1200*3=3600

180*3=540

3600+540+27=4167

4167——>25002

8000——–>?

is principle

**Problem 2:** A sum of RS.19600 is invested at 20% rate of compound interest for 2 years compounded half yearly. then the end of two years compound interest will be how much more than the S.I?

Solution:

Rate=% time =2*2=4 years

we will split 4 years into 2 and 2 years

R=10% T=2 years

C.I=10+10+%

R=21% T=2 years

21+21+%

C.I=46.41%

S.I=10*4=40%

46.41-40=6.41%

100%———>19600

6.41%———->?

**Problem 3:** If a sum of Rs.3600 is invested in two different banks for 2 years first offering 20% compound interest compounded annually and second offer 20% compounded half yearly then find the difference of the interest after 2 years?

Solution:

first offering 20% compound interest compounded annually

20%———-C.I———-Annually

20+20+ = 44%

second offer 20% compounded half yearly

Rate=% , Time=2*2=4 years

10+10+=21%

21+21+=46.41%

46.41 – 44=2.41%

100%———->3600

2.41%———>?

=86.76