Question

Find the simple interest on Rs. 4000 in 2 years and 6 months at the rate of 7% per annum.​

Answer 1

Answer:

Q) Find the simple interest on Rs. 4000 at 7.5% p.a. for 3 years 3 months. Also find the amount.

Step-by-step explanation:

Principle = Rs4000

Principle = Rs4000Time=3years3months

Principle = Rs4000Time=3years3months=3+

Principle = Rs4000Time=3years3months=3+ 12

Principle = Rs4000Time=3years3months=3+ 123

Principle = Rs4000Time=3years3months=3+ 123

Answer 2

Answer:

Given :-

• A sum of Rs 4000 in 2 years and 6 months at the rate of 7% per annum.

To Find :-

• What is the simple interest.

Formula Used :-

$\clubsuit$ Simple Interest or S.I Formula :

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

Solution :-

First, we have to convert the time :

$\implies \sf Time =\: 2\: years\: and\: 6\: months$

$\implies \sf Time =\: 2 + \dfrac{6}{12}$

$\implies \sf Time =\: \dfrac{24 + 6}{12}$

$\implies \sf Time =\: \dfrac{\cancel{30}}{\cancel{12}}$

$\implies \sf\bold{\purple{Time =\: \dfrac{5}{2}\: years}}$

Now, we have to find the simple interest :

Given :

• Principal = Rs 4000
• Rate of Interest = 7% per annum
• Time = 5/2 years

According to the question by using the formula we get,

$\longrightarrow \sf S.I =\: \dfrac{4000 \times 7 \times \dfrac{5}{2}}{100}$

$\longrightarrow \sf S.I =\: \dfrac{\cancel{28000} \times \dfrac{5}{\cancel{2}}}{100}$

$\longrightarrow \sf S.I =\: \dfrac{14000 \times 5}{100}$

$\longrightarrow \sf S.I =\: \dfrac{700\cancel{00}}{1\cancel{00}}$

$\longrightarrow \sf S.I =\: \dfrac{700}{1}$

$\longrightarrow \sf\bold{\red{S.I =\: Rs\: 700}}$

${\small{\bold{\underline{\therefore\: The\: simple\: interest\: is\: Rs\: 700\: .}}}}$