Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
How much does the insurance cost now?

Respuesta :

Answer:

£ 449.20

Step-by-step explanation:

We have to reduce 465.98 by 3.6%

Firstly, lets convert the percentage to decimal by dividing by 100. So we have:

3.6/100 = 0.036

Lets find 3.6% of 465.98

That is:

0.036 * 465.98 = 16.77528

This is the "LESSENED" amount. So the final amount would be:

465.98 - 16.77528 = 449.20472

Rounding to 2 decimal places, £ 449.20

Percentage is a way to describe a part of a whole. The cost of the insurance will be £449.20

What is Percentage?

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the price of the insurance before was £465.98, while the cost now is reduced by 3.6%, therefore, the cost of the insurance will be 96.4% of the cost before.

Thus, the cost of the insurance can be written as,

[tex]\rm 96.4\%\ of\ \£465.98\\\\= 0.964 \times 465.98\\\\= \£449.20[/tex]

Hence, the cost of the insurance will be £449.20

Learn more about Percentage:

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