Question

the interest rs 20000 for 2 years at 5%p.a compounded half yearly is ​

Answer 1

Amount =Rs. 22076.256

Compound interest= Rs. 2076.257

Step-by-step explanation:

Principal= Rs.20000

Time= 2years

Rate% p.a.=5%

Since the amount is compounded half yearly , rate becomes half and time gets doubled.

New time= 2×2=4 years

New rate %p.a.= 5/2%

A= p× (1+ r/100)^n

a=20000×(1+5/2×100)^4

a=20000 (1+5/200)^4

a= 20000(200/200+5/200)^4

a=20000(205/200)^4

a=20000×205/200×205/200×205/200×205/200

a= 2825761/128= 22,076.257

Amount=22076.256

Compounded interest = Amount -principal

=22076.257-20000=2076.257

Compound interest= Rs 2076.257

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