find.ci.when.p.500.r.12.n.2
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Answer:
To find compound interest when interest is compounded quarterly, we use the following formula :
A = P ( 1 + R/4 )4n and C.I. = A – P
Where, P = Principal
R = Rate of interest p.a (per annum i.e annually)
n = number of years.
Examples :
1) Find the compound interest on $320,000 for one year at the rate of 20% p.a., if the interest rate is compounded quarterly.
Solution:
Here, P = $320,000, R = 20% p.a. and n = 1 year.
∴ Amount after 1 year = P ( 1 + R/4 ) 4n
= 320,000 x ( 1 + 0.20/4 ) 4 x 1
= 320,000 x ( 1 + 0.05) 4
= 320,000 x (1.05 ) 4
= 320,000 x 1.21550
= Rs. 388,962
∴ Compound interest = 388,962 – 320,000 = 68,962
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