Question

18. The compound interest on a
certain sum for 2 years is 6000
and for 4 years is 14000. Find
the principal.​

Answer 1

Answer:

Principal= 2571.42

Step-by-step explanation:

Compound Interest formula

Amount = Principal * (1+Rate/100)^n

$amt \: = pr \times {(1 + \frac{r}{100} ) }^{n}$

for 2 years,

$6000 \: = pr \times {(1 + \frac{r}{100} ) }^{2}$

For 4 years

$14000 \: = pr \times {(1 + \frac{r}{100} ) }^{4}$

Dividing both equations we get

$2.33 \: = {(1 + \frac{r}{100} ) }^{2}$

Substituting in earlier equation we get

$6000 \: = pr \times 2.33 \\ pr = 2571.42$