Question

When a painting is sold at a gain of 20% it yields Rs 600 more than when it is sold at a loss of 20% the cost price of the painting is

Answer 1

Here we have been given that,  a painting is sold at a gain of 20% it yields Rs 600 more than when it is sold at a loss of 20%.

Let the cost price of painting be X

then according to question,

20% Gain $= \frac{(100 + 20)}{100}$

20% Loss $= \frac{(100 - 20)}{100}$

So,  $(\frac{120}{100} )X - (\frac{80}{100} ) X = 600$

      $(\frac{120X - 80X}{100} ) = 600$

      $(\frac{40X}{100} ) = 600$

      $40X = 60000$

      $X = \frac{60000}{40}$

      $X = 1500$

Therefore cost Price = 1500Rs