Question

If Kabir pays back Rohan R 6232.50 for the loan
of 4500 that he had taken at 28% interest p.a.,
how many months did Kabir take to pay back
Rohan's money?​

Answer 1

Answer:

T=16.5months

Step-by-step explanation:

A=P+SI

SI=A-P

=6232.5-4500

=1732.5

SI=P×R×T/100

1732.5=4500×28×T/100

1732.5=1260×T

T=1732.5/1260

T=1.375years

OR

T=16.5months

Answer 2

Kabir took 15 months to pay back Rohan's money.

Step-by-step explanation:

Since we have given that

Sum = Rs. 4500

Amount = Rs. 6232.50

Rate of interest = 28% p.a.

So, the number of months would be

$A=P(1+\dfrac{r}{100})^n\\\\6232.50=4500(1+\dfrac{28}{100})^n\\\\\dfrac{6232.50}{4500}=(1+\dfrac{7}{25})^n\\\\1.385=1.28^n\\\\\ln 1.385=n\ln 1.28\\\\n=\dfrac{\ln 1.385}{\ln 1.28}\\\\n=1.319\times 12\approx 15\ months$

Hence, Kabir took 15 months to pay back Rohan's money.

# learn more:

Bobby borrowed $500 at 12 percent simple annual interest. He paid back $680 to pay off the loan. How many years did it take Bobby to pay back the loan?

https://brainly.in/question/3524866