Question

19.The cost of a vehicle is ₹1,75,000. If its value depreciated at the rate of 20% per annum, then the total depreciation after 3 years will be​

Answer 1

Step-by-step explanation:

$Value of the vehicle after 3 years</p><p>=1,75,000×(1−10020)3</p><p>=1,75,000×54×54×54</p><p>= Rs. 89, 600</p><p>∴ Total depreciation = 1, 75, 000 - 89, 600</p><p>                                  =Rs.85,400</p><p></p><p>$

Answer 2

Solution:-

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ANSWER:-

• Total depreciation amount after 3 years will be 89600.

GIVEN:-

• The cost of the vehicles (Principal) = ₹1,75,000
• Rate of the value depreciated = 20%
• Time of depreciation = 3 years

TO FIND:-

• Total depreciation after 3 years = ?

FORMULA:-

$\to\sf{Amount\:Depreciated = P\bigg(1-\dfrac{R}{100}\bigg)^{n} }$

SOLVING BY APPLYING THE FORMULA:-

• Depreciation amount after 3 years = $\sf{P\bigg(1-\dfrac{R}{100}\bigg)^{n}}$

• Depreciation amount after 3 years = $\sf{175000\bigg(1-\dfrac{20}{100}\bigg)^{3}}$

• Take LCM

• Depreciation amount after 3 years = $175000{\bigg(\dfrac{100-20}{100}\bigg)^{3}}$

• Depreciation amount after 3 years = $175000{\bigg( \dfrac{80}{100}\bigg)^{3}}$

• Depreciation amount after 3 years = $175000{\bigg( \dfrac{512000}{1000000}\bigg)}$

• Depreciation amount after 3 years = $175000 \times {\dfrac{512000}{1000000}}$

• Depreciation amount after 3 years = $175{\not{000}}\times {\dfrac{512{\not{000}}}{1{\not{000}}{\not000}}}$

• Depreciation amount after 3 years = $175\times{512}$

• Depreciation amount after 3 years = $175\times{512} = 89600$

• Depreciation amount after 3 years = Rs 89600

Hence, after 3 years it's depreciation amount will be Rs 89600.

• Depreciation = Principal - Amount
• Depreciation = 175000 - 89600
• Depreciation = 85400

Thus, Depreciation is Rs 85400.

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