The price of a commodity which was ₹ 250 three years ago is ₹ 2000 now. The annual rate of increase in the… · ABC26GN2439
Subject: General Aptitude · Chapter: Percentage · Exam: P.C.S. 2009
The price of a commodity which was ₹ 250 three years ago is ₹ 2000 now. The annual rate of increase in the price is
(a)100\%
(b)200\%
(c)$266 \frac{2}{3} \%$
(d)None of these
Answer
Explanation
$250\left(1+\frac{\mathrm{R}}{100}\right)^{3}=2000 \Rightarrow\left(1+\frac{\mathrm{R}}{100}\right)^{3}=\frac{2000}{250}=8=(2)^{3}$ $$\Rightarrow\left(1+\frac{\mathrm{R}}{100}\right)=2 \Rightarrow \frac{\mathrm{R}}{100}=1 \Rightarrow \mathrm{R}=100 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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