Question

sheela gives an interest of
for RS 45 for one year at 9% rate per annum. what is the
Sum she
has borrowed?​

Answer 1

Answer :

• The sum of money Sheela borrowed is Rs. 500

Step-by-step explanation ::

To Find :-

• The sum of money Sheela borrowed

Solution :-

Given that,

• Simple interest = Rs. 45
• Time = 1 year
• Rate = 9%

According the question,

We need to find out the principal,

As we know that,

Principal = ( S.I. × 100 ) / ( R × T )

Where,

• S.I. = Simple Interest
• R = Rate
• T = Time

➠ Principal = ( 45 × 100 ) / ( 9 × 1 )

➠ Principal = 4500 / ( 9 × 1 )

➠ Principal = 4500 / 9

➠ Principal = 500

The sum of money Sheela borrowed is Rs. 500.

Now, Verification

We can very whether the answer is correct or not, by the formula of Simple Interest, if we get same simple interest then, the answer is correct.

Let's do !!!

➠ Simple Interest = ( P × R × T ) / 100

Where,

• P = Principal
• R = Rate
• T = Time

➠ 45 = ( 500 × 9 × 1 ) / 100

➠ 45 = ( 4500 × 1 ) / 100

➠ 45 = 4500 / 100

➠ 45 = 45

L.H.S = R.H.S

Hence, Verified !

Additional information

Some more information related to Simple interest :-

• P = ( S.I. × 100 ) / ( R × T )
• R = ( S.I. × 100 ) / ( P × T )
• S.I. = ( P × R × T ) / 100
• T = ( S.I. × 100 ) / ( P × R )

Here,

• P = Principal
• R = Rate
• T = Time
• S.I. = Simple Interest