Question

if the amount of a loan after 18 month at 5.5% per annum simple interest is rs 4,330,find the loan​

Answer 1

Answer:

₹4286.7

Step-by-step explanation:

Given-

S.I = 4,330

T= 18

R= 5.5%

Find-

P=?

then , we know that

SI = P*R*T/100

so ,

P = SI*100/R*T

P = 4330*5.5*18/100

P = 4286.7

so the loan is of ₹4286.7

Answer 2

Answer:

₹52,484.85.

Step-by-step explanation:

We're given time, rate and simple interest. We've to calculate loan or principal. So, let us calculate:-

Time = 18months.

Here time is given in months, so we've to convert it into years. To convert months into year we've to divide the given months by 12.

12months = 1year

18 months = $\sf\dfrac{18}{12}=\dfrac{3}{2}=1.5.$

∴ Time = 1.5years.

Rate = 5.5% p.a.

Simple Interest = ₹4,330.

Principal = ?

$\tt{P = \dfrac{100 \times S.I.}{R \times T}} \\ \\\\\rm: \: \longmapsto{P= \frac{100 \times 4330}{5.5 \times 1.5}} \\ \\\rm: \: \longmapsto{P= \frac{433000}{8.25}= \cancel\frac{43300000}{825}} \\ \\\\\sf:\:\longmapsto{Principal=₹52,484.85.}$

Therefore, loan is ₹52,484.85.

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