Value of an article depreciates every year at rate of 10 % of its value. If present value of article

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7.Profit and Loss

medium

The value of an article depreciates every year at the rate of $10 \%$ of its value. If the present value of the article is $Rs.\, 729$, then its worth $3\, years$ ago was (in $Rs.$)

A

$1250$

B

$1000$

C

$1125$

D

$1200$

Solution

$A=P\left(1-\frac{R}{100}\right)^{T}$

$\Rightarrow \quad 729=P\left(1-\frac{10}{100}\right)^{3}$

$\Rightarrow \quad 729=P \times\left(\frac{9}{10}\right)^{3}=\frac{729}{1000} P$

$\Rightarrow \quad P=\frac{729 \times 1000}{729}=Rs.\, 1000$

Standard 13

Quantitative Aptitude

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