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CAT 2011 | Question: 12

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One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while the second was empty. First he transferred an arbitrary amount of petrol from the first tank into the second and then replaced the petrol removed from the first tank with kerosene. He then repeated this process one more time but this time he ensured that by the end of the process the second tank was exactly full.

If the concentration of petrol in the second tank is $75$% and the cost price of kerosene is half that of petrol, then what is Govind Lal’s net profit percentage on selling the contents of the second tank given that he claims to sell the petrol at a profit of $25$% ?

  1. $42\frac{6}{7}\%$
  2. $66\frac{2}{3}\%$
  3. $83\frac{1}{3}\%$
  4. $100\%$

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