Question

Find the amount for rs 18000 for 2 years at the rate of 8% conponded half yearly...it's urgent

Answer 1

Solution : 
Here, P = $1,000, R = 10% and n = 18 months = 18/12 = 3/2 years.

Amount after 2 years = P ( 1 + r/2)2n 

= 1,000 ( 1 + 0.10 /2)2 x 3/2

= 1,000 ( 1 + 0.05)6/2

= 1,000 (1.05)3

= 1,000 x 1.157625 

Amount = $ 1157.625 

∴ C.I = A - P 

C.I = 1157.625 - 1000

C.I = $ 157.625 
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3) What sum will become $9,724.05 in 2 years, if the rate of interest is 10% compounded half yearly? 

Solution :
Here, A = $9,724.05, R = 10% and n = 2years , P =?.

Amount after 2 years = P ( 1 + r/2)2n 

9,724.05= P ( 1 + 0.10 /2)2 x 2

9,724.05= P ( 1 + 0.05)4

9,724.05= P (1.05)4

9,724.05= P x 1.21550625 

P = 9,724.05/1.21550625 P = $ 8000 



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