Question

find compound interest on rs 1000 at 8% per annum for 6 months compounded semi
annually​

Answer 1

Answer:

stucked in a maths problem yeah solution is right here

Step-by-step explanation:

Principal (P) =Rs.1000

Rate (R)  =8% p.a

Period (T) =112years=3 half-years

∴ Interest for the first half-year =PRT100

=1000×8×1100×2=Rs. 40

Amound after one half-year =Rs.1040

or, Principal for the second half-year =Rs. 1040

Interest for the second half-year

=1040×8×1100×2=Rs.4160100=Rs. 41.60

Amount after second half-year

=Rs.1040+41.60=Rs.1081.6

or, Principal for the third half-year =Rs. 1081.60

Interest for the third half-year

=1081.60×8×1100×2=Rs.4326.40100=Rs.43.264

∴ Compound interest for the third half-year

or 112  years =Rs.40+Rs.41.60+Rs.43.264=Rs.124.864

Alternate way:

Interest is compounded half yearly

∴ Interest @ half year =82=4%

n = number of times interest added in 112 years =3

Amount (A) is given by 

A=P[1+r @ half year100]n

=1000[1+4100]3

=1000×104100×104100×104100

=104×104×10410×100

=1124.864

Compound Interest = Amount − Principal

=1124.864−1000=Rs. 124.864