Quantitative Aptitude Ques 1009

Question: The value of a property decreases every year at the rate of 5%. If its present value is Rs. 411540, then what was its value 3 yr ago?

Options:

A) Rs. 420000

B) Rs. 480000

C) Rs. 500000

D) Rs. 430000

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let value of the property 3 yr ago be P. Then, $ A=P{{( 1-\frac{R}{100} )}^{3}} $

$ \Rightarrow $ $ 411540=P{{( 1-\frac{5}{100} )}^{3}}P{{( 1-\frac{1}{20} )}^{3}} $ $ P=\frac{411540\times 20\times 20\times 20}{19\times 19\times 19} $ $ =60\times 20\times 20\times 20 $ $ =Rs.480000 $

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