Question

in what time will rupees 5000 become rs 5832 at 16% per annum interest being compounded half yearly

Answer 1

Answer:

1 year .

Step-by-step explanation:

The interest will be compounded half yearly .

Given

P = Rs 5000

A = Rs 5832

R = 16

Since this is half yearly :

R = 16/2 %

⇒ R = 8 %

A = P ( 1 + R/100 )^n

⇒ 5832 = 5000 ( 1 + 8/100 )^n

⇒ 5832/5000 = ( 108/100 )^n

⇒ 729/625 = ( 108/100 )^n

⇒ 729/625 = ( 27/25 )^n

⇒ ( 27/25 )^2 = ( 27/25 )^n

Comparing powers :

n = 2

Since it is half yearly , n = 2 × 1/2

= n = 1 year.

Answer 2

hi mate

here is your answer

Answer is 1 YEAR.

Now, given,

Interest is compounded half yearly

Therefore,Rate of interest=

$8\%$

So,time = n/2 years.

Also we know,

$a = p(1 + r \div 100) ^{t}$

=>5832=5000(1+ 8/100)^n

=>5832/5000 =(108/100)^n

=>(729/625) = (27/25)^n

=>(27/25)^2 =(27/25)^n

On comparing the powers we get==

=>n = 2

hence time = 2/2 = 1 year.

hope it helps

be brainly///