Question

Find the rate percent per annum,if 2000 rs amount to 2315.25rs in an year and half,interest being compounded half yearly

Answer 1

Your Question's answer is >>>>>>>>>>>>>>>>>> P=2000rs
R=?
T(n)=1.5year=1.5×2=3half years
Amount=P×(1+R/100)^n
2315.25=2000(1+R/100)^3
2315.25/2000=(1+R/100)^3
9261/8000=(1+R/100)^3
(21/20)^3=(1+R/100)^3
We cut the cub.and
21/20-1=R/100
R=1/20×100
R=5%
answer
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Answer 2

Answer:

Hence, The rate percent per annum = 5%

Step-by-step explanation:

Principal value, P = Rs 2000

Compound Interest, Amount = Rs. 2315.25

Time = 1.5 years

n = number of times the interest is compounded in a year

⇒  n = 2

$Amount = P\times(1+\frac{Rate}{100\times n})^{n\times Time}\\\\\implies 2315.25=2000\times(1+\frac{Rate}{2\times 100})^{2\times 1.5}\\\\\implies\frac {2315.25}{2000}=(1+\frac{Rate}{200})^3\\\\\implies 1.157625=(1+\frac{Rate}{200})^3\\\\\implies (1.157625)^{\frac{1}{3}}=(1+\frac{Rate}{200})^{3\times\frac{1}{3}}\\\\\implies 1.05 = 1+\frac{Rate}{200}\\\\\implies \frac{Rate}{200}=0.05\\\\ \implies Rate = 5\%$

Hence, The rate percent per annum = 5%