An article is sold at a loss of $8\%$. Had it been sold for Rs. $30$ more, there would have been a profit of…

An article is sold at a loss of $8\%$. Had it been sold for Rs. $30$ more, there would have been a profit of $4\%$. The cost price is
  1. Rs. $200$
  2. Rs. $240$
  3. Rs. $250$
  4. Rs. $300$

Solution

Difference between $4\%$ profit and $8\%$ loss $= 4 - (-8) = 12\%$ of CP $= 30$. So $\text{CP} = \dfrac{30 \times 100}{12} = 250$.

Asked in: IMO

Practice more COMPARING QUANTITIES questions on Aicharya