Question

7500 for 1 year at 16% per annum compounded half yearly
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Answer 1

Answer:

if interest compounded half yearly then rate will be half that is 8% and n=2

so A = p(1+r/100)^2

A= 7500(1+8/100)^2

=7500(1.08)^2

= 7500(1+.08)^2

=7500(1+0.0064+2*1*0.08) because (a+b)^2= a^2+b^2+2ab

7500+75*0.0064+7500*0.16

= 7500+48+1200

= 8748 rs

Answer 2

Answer:

A = P ( 1 + R /100 )

here,

A= Amount

P= Principle =Rs.7500

R= Rate of interest =16%

n=1 year =2 half years

Therefore,

A = 7500 ( 1 + 16 / 2 × 100 ) ^2

⇒A=7500 ( 1 + 16 / 200 )^2

⇒A=7500 ( 1 + 2 / 25 ) ^2

⇒A=7500 ( 1 + 2/25 ) ^2

⇒A=7500 ( 25 + 2 / 25 ) ^2

⇒A=7500 ( 27 / 25 )^2

⇒A=7500 × 27/25 × 27/25

= 12 × 27 × 27 = 8748

Therefore,

Therefore,Compound interest =A−P = 8748 - 7500

= 1248 ANS