Question

A car was purchased for Rs.500000. Its value depreciates at the rate of 20% per annum. What will be its value after 3 years?

Answer 1

$\underline{\boxed{\bold{Question}}}$

↠ A car was purchased for Rs.500000. Its value depreciates at the rate of 20% per annum. What will be its value after 3 years?

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↠ Depreciates means decrease in amount over a period of time. So Value of car also depreciates so we have to subtract that amount to get value of car after that period of time.

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$\underline{\boxed{\bold{Given}}}$

↠ Original price = Rs. 5,00,000

↠ Rate of depreciation = 20% per annum

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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Let's find value of car after one year.

Value of car in starting of year = Rs. 5,00,000

Amount that will be depreciated = D

$:\implies D = (Original\;price) \;\times\;(Rate\;of\;Depreciation)$

$:\implies D = (500000) \;\times\;(\frac{20}{100} )$

$:\implies D = (5000) \;\times\;(20)$

$\boxed{:\implies D = 100000}$

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$\bold{\therefore Value\;of\;car\;at\;end\;of\;1nd\;year\; = Value\;at\;starting\;- D}$

$\boxed{\bold{\therefore Value\;of\;car\;at\;end\;of\;1st\;year\; = Rs.\;4,00,000}}$

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Let's find value of car after two year.

Value of car in starting of year = Rs. 4,00,000

Amount that will be depreciated = D

$:\implies D = (Original\;price) \;\times\;(Rate\;of\;Depreciation)$

$:\implies D = (400000) \;\times\;(\frac{20}{100} )$

$:\implies D = (4000) \;\times\;(20)$

$\boxed{:\implies D = 80000}$

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$\bold{\therefore Value\;of\;car\;at\;end\;of\;2nd\;year\; = Value\;at\;starting\;- D}$

$\boxed{\bold{\therefore Value\;of\;car\;at\;end\;of\;2nd\;year\; = Rs.\;3,20,000}}$

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Let's find value of car after three year.

Value of car in starting of year = Rs. 3,20,000

Amount that will be depreciated = D

$:\implies D = (Original\;price) \;\times\;(Rate\;of\;Depreciation)$

$:\implies D = (320000) \;\times\;(\frac{20}{100} )$

$:\implies D = (3200) \;\times\;(20)$

$\boxed{:\implies D = 64000}$

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$\bold{\therefore Value\;of\;car\;at\;end\;of\;3rd\;year\; = Value\;at\;starting\;- D}$

$\boxed{\bold{\therefore Value\;of\;car\;at\;end\;of\;3rd\;year\; = Rs.\;2,56,000}}$

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$\boxed{\boxed{\bold{\therefore Value\;of\;car\;after\;3\;years\; = Rs.\;2,56,000}}}$

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Hope this helps u.../

【Brainly Advisor】