Math, asked by ddhdhdhdhd, 4 months ago

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?

Answers

Answered by REDPLANET
51

\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】

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