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Verified answer

Answer:

In 9 years, 8500 amount to 15385 at the rate of 9% per annum.

Step-by-step explanation:

Given that,

Principal, P = 8500

Amount received = 15385

So, Simple interest, SI = Amount - P = 15385 - 8500 = 6885

Rate of interest, r = 9 % per annum

Let assume that the time period be n years.

We kmow, Simple interest (SI) received on a certain sum of money of P invested at the rate of r % per annum for n years is

[tex] \sf \: SI = \dfrac{P \times r \times n}{100} \\ [/tex]

[tex] \sf \: 6885 = \dfrac{8500 \times 9 \times n}{100} \\ [/tex]

[tex] \sf \: 6885 = 85 \times 9 \times n \\ [/tex]

[tex] \sf \: 765 = 85 \times n \\ [/tex]

[tex]\implies\sf\:n = 9 \\ [/tex]

Hence, In 9 years, 8500 amount to 15385 at the rate of 9% per annum