Question

In the year $2000$, the price of article. $A$ is $205$ more than the price of article $B$. In the year $2002$, the price of article $A$ is $50$ more than the price of article $B$. From $2001$ to $2002$, if the price of $A$ has increase by $50$, by what per cent has the price of $B$ increased?

Answer 1

Let the initial price of $B$ be $x$.

$⟹$ Initial price of $A=(x+205)+50=x+255$

New price of $B=(x+255)-50=x+205$

$\%$ increase$=\frac{x+205-x}{x}\times 100=20500\%$