Math, asked by harsheniiforever, 1 year ago

Savita invested rupees 1000 in a finance company and received Rs 1331 after 3 years find the rate of interest percent per annum compounded annually

Answers

Answered by qwmagpies
10

Given: Savita invested rupees 1000 in a finance company and received Rs 1331 after 3 years.

To find: We have to find the rate of interest.

Solution:

The compound interest can be determined by the below formula-

i = p {(1 +  \frac{r}{100}) }^{n}

Where 'i' is the interest which is equal to 1331.

p is the principal =1000

r is the rate of interest that is equal to x.

n is a period of investment equal to 3 years.

Putting the values in the above formula we get-

1331 = 1000 {(1 +  \frac{x}{100} )}^{3}  \\  \frac{1331}{1000}  ={(1 +  \frac{x}{100} )}^{3}  \\ 1.331 = {(1 +  \frac{x}{100} )}^{3}  \\  \sqrt[3]{1.331}  = 1 +  \frac{x}{100}  \\ 1.1 - 1 =  \frac{x}{100}  \\ x = 0.1 \times 100 \\ x = 10

The value of x is 10.

Thus, the rate of interest is 10%.

Answered by madhav20096d
0

Answer:

rate of interest is 10%

Step-by-step explanation:

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