Question

27. Find the Principal when :(a) S.I. = $ 192 , Rate = 6% per annum , Time = 4 years.full answer

Answer 1

⇛⇛⇛ANSWER⇚⇚⇚

☛ Given :

Simple Interest = $ 192

Rate = 6 % per annum

Time = 4 years

✐ Required to find :

1. What is principal amount ?

Formula ✍:

There is only one formula for simple Interest

That is ;

$\longrightarrow{\boxed{\Rightarrow{\boxed{Simple Interest = \frac {Principal \times Time \times Rate}{100}}}}}$

Hence ,

By changing some terms from left to right and right to left .

We can find the required formula ,

The required Formula is ;

$\longrightarrow{\boxed{\Rightarrow{\boxed{Principal = \frac {Interest \times 100}{Rate \times Time }}}}}$

☑ Explanation :

In the question they given some values that is

1) Interest 2) Rate 3)Time

Now using the formula mentioned above ,

We can find the the value of the principal amount .

Formula is

$\large{\boxed{Principal = \frac{Interest \times 100}{Rate \times Time }}}$

Here, substitute all the given ballet to find the principal amount .

✜ Solution :

$\longrightarrow{Simple Interest= 192}$

$\longrightarrow{Rateofinterest=6\%}$

$\longrightarrow{Time\: period\:=\:4\:years}$

Using the formula ,

$\large{\boxed{Principal = \frac {Interest \times 100}{Rate \times Time }}}$

Hence,

Substitute the all given values ;

$\longrightarrow{Principal = \frac{192 \times 100}{6 \times 4}}$

$\longrightarrow{Principal = \frac{ 19200}{24}}$

$\implies{\textsf{Principal = 800}}$

Therefore,

$\longrightarrow{\boxed{\Rightarrow{\boxed{\huge{Principal\:=\:800}}}}}$

✅ Hence Solved ⇈

Answer 2

GIVEN:

Simple Interest = 192

Rate = 6% per annum and Time = 4 years

TO FIND:

The principal.

SOLUTION:

We know that,

Simple Interest = PTR / 100

Where,

P = principal, T = Time and R = Rate

192 = P × 4 × 6 / 100

192 × 100 = 24p

19200 = 24p

p = 19200/24

p = 800

Therefore, the principal = 800.