Percentage - Excercise 1 - Q14

Question

i. In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was :

  • 10 kg
  • 15 kg
  • 20 kg
  • 25 kg
4
Answer and Explanation
The Correct answer is : 10 kg
Explanation :
Let the original quantity be x kg. Vanaspati ghee in x kg
${\frac{40x}{100}}$kg = ${\frac{2x}{5}}$ kg.
Now, ${(2x/5)/(x + 10)}$ =${\frac{20}{100}}$
=${\frac{2x}{(5x+50)}
\frac{1}{5}}$
5x = 50
x = 10.
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