Question

In what time will a sum of rupees 8000 become rupees 9261 at the interest rate of 10% per annum if the interest is compounded six monthly

Answer 1

P=8000

A=9261

R=10%

T=?

(A/Q- Interest compounded semi-annually)

A=P(1+R/200)^2T

9261 = 8000 (1+10/200)^2T

9261/8000 = (21/20)^2T

(21/20)^3 = (21/20)^2T

==> 2T = 3

T= 3/2

ANSWER :- 1 & 1/2 yrs.

or 18 months.

Answer 2

The sum Rs. 8000 becomes Rs. 9261 in 3 year six monthly at 10% p.a.

Step-by-step explanation:

Since we have given that

Principal = Rs. 8000

Amount = Rs. 9261

Rate of interest = 10%

It is half yearly compounded.

So, it becomes,

$A=P(1+\dfrac{R}{200})^{2n}\\\\9261=8000(1+\dfrac{10}{200})^{2n}\\\\\dfrac{9261}{8000}=(1+\dfrac{1}{20})^{2n}\\\\\sqrt{\dfrac{9261}{8000}}=(\dfrac{21}{20})^n\\\\(\dfrac{21}{20})^3=(\dfrac{21}{20})^n\\\\n=3$

Hence, the sum Rs. 8000 becomes Rs. 9261 in 3 year six monthly at 10% p.a.

# learn more:

If rupees £8,000 to rupees 9261 in 3 years at compound interest find the rate of interest per annum

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