Question

The value of a car decreases annually by 20%. If the present value of the car be Rs225000. what will be its value after 2 years?​

Answer 1

Answer:

Hi,

Present value of the car ( x ) = Rs3,45,000

Annually decrease of the value = d = 20%

Car valueafter 2 years

= present value × ( 100 - d)/100 × (100 - d )/100

= 345000× ( 100 - 20 )/100× ( 100 - 20 )/100

= ( 345000 × 80 × 80)/ ( 100 × 100 )

= Rs 2, 20,800

Value of the cat after 2 years = Rs 2,20,800

I hope this helps you.

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Step-by-step explanation:

Answer 2

$\huge\mathtt{Question}$

The value of a car decreases annually by 20%. If the present value of the car is ₹ 2,25,000, what will be its value after 2 years?

$\huge\mathtt{Given}$

• The value of a car decreases annually by 20%.

• The present value of the car is ₹ 2,25,000.

$\huge\mathtt{Solution}$

We know that:

• $\boxed{Depreciated\:value=[P{(1-{\frac{R}{100}})}^{n}]}$

Where,

• $P$ = Present value.

• $R$ = Annual rate of decrease.

• $n$ = Time.

Here,

• $P$ = ₹ 225000

• $R$ = 20%

• $n$ = 2 years

So,

Depreciated value

$=225000×{(1-{\frac{20}{100}})}^{2}$

$=225000×{[{\frac{(100-20)}{100}}]}^{2}$

$=225000×{({\frac{80}{100}})}^{2}$

$=225000×{\frac{80}{100}}×{\frac{80}{100}}$

$=225\cancel{000}×{\frac{80}{1\cancel{00}}}×{\frac{8\cancel{0}}{1\cancel{00}}}$

$=225×80×8$

$=144000\:\:\:{\large\red{★}}$

$\huge\mathtt{Hence}$

Depreciated value = ₹ 144000

$\huge\mathtt{Therefore}$

Its value of the car after 2 years will be ₹ 1,44,000.

$\huge\mathtt{Final\:answer}$

Depreciated value = ₹ 144000

$\huge\mathtt{Done}$

$\large\mathtt{Hope\:this\:helps\:you.}$

$\large\mathtt{Have\:a\:nice\:day.}$