Question

Find the rate percent, if the S.I. on Rs275 in 2 years is Rs 22​

Answer 1

Answer:

Given :-

• Simple interest on Rs 275 in 2 years is Rs 22.

To Find :-

• What is the rate percent.

Formula Used :-

$\clubsuit$ Rate of Interest Formula :

$\longrightarrow \sf\boxed{\bold{\pink{Rate =\: \dfrac{S.I \times 100}{P \times T}}}}$

where,

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

Solution :-

Given :

• Simple Interest = Rs 22
• Principal = Rs 275
• Time = 2 years

According to the question by using the formula we get,

$\implies \sf Rate =\: \dfrac{22 \times 100}{275 \times 2}$

$\implies \sf Rate =\: \dfrac{220\cancel{0}}{55\cancel{0}}$

$\implies \sf Rate =\: \dfrac{\cancel{220}}{\cancel{55}}$

$\implies \sf Rate =\: \dfrac{4}{1}$

$\implies \sf\bold{\red{Rate =\: 4\%\: p.a}}$

$\therefore$ The rate of interest is 4% p.a .

INFORMATION FORMULAS :-

★ Simple Interest Formula :-

$\leadsto \sf\boxed{\bold{\purple{S.I =\: \dfrac{P \times R \times T}{100}}}}$

★ Principal Formula :-

$\leadsto \sf\boxed{\bold{\green{P =\: \dfrac{S.I \times 100}{R \times T}}}}$

★ Time Period Formula :-

$\leadsto \sf\boxed{\bold{\red{T =\: \dfrac{S.I \times 100}{P \times R}}}}$

★ Amount Formula :-

$\small \leadsto \sf\boxed{\bold{\pink{Amount =\: Principal (P) + Simple\: Interest(S.I)}}}$

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Answer 2

What to find:

$\to$The rate of interest

Information given in the question:

• Principle=275rs
• Time=2years
• Simple interest=22rs

Solution:

Let,The rate of interest per annum be $r$ %

Using formula:

$\to$Simple interest=$\frac{Principle*Time*Rate of interest per annum}{100}$

So,By using the formula of simple interest finding the rate of interest per annum,

Now,Solving the formed equation,

$\to$$22=\frac{275*2*r}{100}$

$\to or,$$\frac{275*2r}{100} =22$

$\to or,275*2r=22*100$

$\to or,r=\frac{100*22}{275*2}$

$\to or,r=4$

So,The rate of interest per annum=$4$%

Verification:

Putting $4$% in rate of interest per annum in the given equation,

$\to or,22=\frac{275*2*4}{100}$

$\to or,22=22$

Therefore,L.H.S=R.H.S

Hence,Verified

Additional information:

$\to Amount=(Principle+Simple interest)$

Answer:

The rate of interest per annum=$4$%