Subject

    Quantitative Aptitude

    Topic

    Percentage

    The price of a bike is increased by 25%, by how much percent, must the new price of this bike be decreased to restore its original price?

    ক)
    30 %
    খ)
    20 %
    গ)
    40 %
    ঘ)
    50%
    ঙ)
    None of these.

    Explanation

    Suppose that the original price of the bike = x Rs. Then new price of the bike =x+x×25100=54x= x + x \times \frac{{25}}{{100}} = \frac{5}{4}x{\rm{ }} To restore the original price, the new price must be decreased by 54x−x=x4\frac{5}{4}x - x = \frac{x}{4} So required percentage =x454x×100%= \frac{{\frac{x}{4}}}{{\frac{5}{4}x}} \times 100\% = 20% Alternate method (short trick): When price of an article is increased by x%, then required reduction in the price of the article to restore the original price would be (r100+r×100)%\left( {\frac{r}{{100 + r}} \times 100} \right)\% Hence, required percentage =25125×100%=20%= \frac{{25}}{{125}} \times 100\% = 20\%

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