A shopkeeper sells two articles, each at Rs. $1{,}980$. On one he gains $10\%$, on the other he loses $10\%$…

A shopkeeper sells two articles, each at Rs. $1{,}980$. On one he gains $10\%$, on the other he loses $10\%$. His net result is
  1. no profit no loss
  2. profit of $1\%$
  3. loss of $1\%$
  4. loss of $10\%$

Solution

When SPs are equal and gain\% $=$ loss\% $= x$, there is always a loss of $\dfrac{x^{2}}{100}\% = \dfrac{100}{100} = 1\%$.

Asked in: IMO

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