Question

Find the S.I and amount if P=£4000, R=5.5% per annum and T = 4 years​

Answer 1

Answer:

$\boxed{\sf \: Simple \: Interest =\boxed{\tt £880}}$

$\boxed{\sf Amount=\boxed{\tt £4880}}$

Step-by-step explanation:

Given :

$\sf \: P = £ \: 4000$

$\sf \: R=5.5\%$

$\sf \: T=4 \: years$

Here,

• ${\star} \rm \: \: P \: means \: Principal$
• $\star \: \rm \: R \: means \: Rate$
• $\star \rm \: T \: means \: Time$

Solution:

We know that,

$\boxed{\sf \: Simple\; Interest = \cfrac{P×R×T}{100} }$

So put their values accordingly:

$\sf \: Simple \: Interest = \cfrac{ 4000 \times 5.5 \times 4 }{1000}$

Now Solve it:

$\sf \: Simple \: Interest = \cfrac{(4000 \times 5.5) \times 4}{100 }$

• Multiply 4000 and 5.5 :-

$\sf \: Simple \: Interest = \cfrac{22000 \times 4}{100}$

• Multiply 22000 and 4:

$\sf \: Simple \: Interest = \cfrac{88000}{100}$

• Cancel a two zeroes of "88000" and two zeroes of 100:-

$\sf \: Simple \: Interest = \cfrac{880 \cancel{00}}{1 \cancel{00}}$

• When "1" is in the denominator, it has no value.

$\sf \: Simple \: Interest = \boxed{£ \: 880}$

Hence the S.I(Simple Interest) would be £880.

Now We need to find the Amount.

We know that,

$\boxed{ \sf \: Amount=P+S.I}$

Here,

• $\star\rm \: P \: means \: Principal$
• $\star\rm \: S.I \: means \: Simple \: Interest$

So put their values accordingly:

$\sf \: Amount=£4000 + £880$

Solve it:

• Add:

$\sf \: Amount=£4880$

Hence, the amount would be £4880.

$\rule{225pt}{2pt}$

I hope this helps!

Answer 2

The required simple interest is £880

How to calculate the simple interest

The formula for calculating the simple interest is expressed as:

SI = PRT

• P is the principal
• R is the rate
• T is the time

GIven that P= 4000, r = 0.055 and t = 4

Substitute:

SI = 4000 * 0.055 * 4

SI = £880

Hence the required simple interest is £880

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