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
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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