Math, asked by Riju72, 5 months ago

1) If Kabir Pays Back Rohan 6232.50 Ruppes For The Loan of 4500 ruppes that he had taken at 28% pa how many months kabir taken to pay back Rohan's Money ? with explanation plz​

Answers

Answered by gs123183
0

Answer:

If Kabir Pays Back Rohan 6232.50 Ruppes For The Loan of 4500 ruppes that he had taken at 28% pa how many months kabir taken to pay back Rohan's Money ? with explanation plz

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

\begin{gathered}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\end{gathered}

A=P(1+

100

r

)

n

6232.50=4500(1+

100

28

)

n

4500

6232.50

=(1+

25

7

)

n

1.385=1.28

n

ln1.385=nln1.28

n=

ln1.28

ln1.385

n=1.319×12≈15 months

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

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