Question

A sum of money invested at compound interest amounts to Rs. 10000 in 4 years and to Rs.
12000 in 5 years. Find the amount that the sum will yield after 6 years.​

Answer 1

amount at the end of 6 years=₹14400

Answer 2

The amount is Rs. 14400 after 6 years.

Step-by-step explanation:

Since we have given that

Amount in 4 years = 10000

Amount in 5 years = 12000

So, we get that

$\dfrac{12000}{10000}=\dfrac{P(1+\dfrac{r}{100})^5}{P(1+\dfrac{r}{100})^4}\\\\\dfrac{6}{5}=1+\dfrac{r}{100}\\\\\dfrac{6}{5}-1=\dfrac{r}{100}\\\\\dfrac{6-5}{5}=\dfrac{r}{100}\\\\\dfrac{1}{5}=\dfrac{r}{100}\\\\r=\dfrac{100}{5}=20\%$

So, The amount in 6 years becomes,

$12000\times \dfrac{100+20}{100}\\\\=12000\times \dfrac{120}{100}\\\\=12000\times 1.2\\\\=14400$

Hence, the amount is Rs. 14400 after 6 years.

# learn more:

A sum of money invested at compound interest amounts to Rs 10000 in 4 years and to Rs 12000in 5 years. Find the amount that the sum will yield After 6 years

https://brainly.in/question/16129798