Question

A car was bought for Rs. 5,00,000 and its value depreciated at the rate of 10% per annum. Find it’s

value after 4 years.​

Answer 1

$\fbox \red {Given}$

• A car was bought for Rs. 5,00,000 and its value depreciated at the rate of 10% per annum.

$\fbox \red{To \: Find}$

• Find it’s value after 4 years.

$\fbox \green{Solution}$

$\sf \: For \: Depreciation, \\ A = P( 1 - \frac{R}{100} ) {}^{t} \\ = 500000(1 - \frac{10}{100} ) {}^{4} \\ = 500000(0.9) {}^{4} \\ = 3280 50\\ \mathtt \green{ Hence, \: The \: Value \: Of \: Car \: After \: 4 \: Years }\: \\ \sf \green{ Is \: Rs.328050}$

Answer 2

Answer:

The value after depreciation of 10% after 4 years will be Rs 328,050

Step-by-step explanation:

The cost price of the car is Rs 5,00,000.

The value gets depreciated by 10% every year for 4 years.

For depreciation we use this formula,

A=$P*(1-R/100)^{4}$

A= P*$(1-10/100)^{4}$

P=5,00,000

so we can solve the bracket term as

=(100-10)/100= 90/100=0.9

0.9 will be the rate at which it depreciates.

so, for four years, we have to take 0.9 four times.

The value after 4 years will be less than the original value and can be calculated as

=the original value*(0.9*0.9*0.9*0.9)

=5,00,000*0.6561

=328,050.

Hence, the value after depreciation of 10% after 4 years will be Rs 328,050.

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