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Question

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

A
10 kg
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B
15 kg
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C
20 kg
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D
25 kg
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Solution

The correct option is B 10 kg
Let initial quantity of ghee be 100x
it contain 60x pure ghee and 40x vanaspati
after adding 10 kg pure ghee
totalweight=(100x+10)kg
it contains (60x+10) kg pure ghee and 40x vanaspati
% of vanaspati =40x(100x+10)=20/100
% of vanaspati $=\frac{40x}{\left(100x + 10\right)}= 1/55 \times 40x = \left(100x + 10\right) 200x = 100x + 10100x = 10$ which is initial weight of ghee.

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