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Question

In 2000, the book value of a car was 2/3rd of the original purchase price, and in 2004, its book value was 1/2 of the original purchase price. By what percentage did the value of the car decrease from 2000 to 2004.

16.67%

25%

33.33%

50%

75%

ANSWER : 2

Descrption

<p><span style = "box - sizing: border - box; font - weight: bolder; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">In 2000, the book value of a car was 2/3rd of the original purchase price, and in 2004, its book value was 1/2 of the original purchase price. By what percentage did the value of the car decrease from 2000 to 2004.</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Let the original price be P.</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Value in 2000  =  2P/3</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Value in 2004  =  P/2</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">So, percentage of decrease in value  =  (2P/3  -  P/2) / (2P/3) x 100%  =  <strong>25%</strong></span></p>

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