In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was :
A. 10 kg
B. 15 kg
C. 20 kg
D. 25 kg
Answer: Option A
Solution(By Examveda Team)
Let the original quantity be x kg.Vanaspati ghee in x kg
$$\eqalign{ & = \left( {\frac{{40}}{{100}}x} \right){\text{kg}} \cr & = \left( {\frac{{2x}}{5}} \right){\text{kg}} \cr} $$
Now,
$$\eqalign{ & \Rightarrow \frac{{\frac{{2x}}{5}}}{{x + 10}} = \frac{{20}}{{100}} \cr & \Rightarrow \frac{{2x}}{{5x + 50}} = \frac{1}{5} \cr & \Rightarrow 5x = 50 \cr & \Rightarrow x = 10 \cr} $$
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