The value of a car depreciates annually by 10%. If the present value of the car be ₹6,50,000, find its value after 2 years.

Answers 1

Answer:

Given :-

To Find :-

Solution :-

Given :

According to the question by using the formula we get,

[tex]\implies \sf\boxed{\bold{A =\: P\bigg(1 - \dfrac{r}{100}\bigg)^n}}\\[/tex]

where,

So, by putting those values we get,

[tex]\implies \sf A =\: 650000\bigg(1 - \dfrac{10}{100}\bigg)^2\\[/tex]

[tex]\implies \sf A =\: 650000\bigg(\dfrac{100 - 10}{100}\bigg)^2\\[/tex]

[tex]\implies \sf A =\: 650000\bigg(\dfrac{90}{100}\bigg)^2\\[/tex]

[tex]\implies \sf A =\: 65{\cancel{00}}{\cancel{00}} \times \dfrac{90}{1\cancel{00}} \times \dfrac{90}{1\cancel{00}}\\[/tex]

[tex]\implies \sf A =\: 65 \times 90 \times 90\\[/tex]

[tex]\implies \sf\bold{\underline{A =\: 526500}}\\[/tex]

[tex]\therefore[/tex] The value of a car after 2 years is ₹526500 .

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