A trader has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
Solution
Correct Answer: Option B
Let the sugar sold at 8% gain = x
∴ Sugar sold at 18% gain = (1000 - x)
Let CP of sugar = Rs. y per kg
Total CP = Rs. 1000y
\(\begin{array}{l} \therefore \left( {\frac{{108}}{{100}} \times xy} \right) + \frac{{118}}{{100}}\left( {1000 - x} \right)y\\ = \frac{{114}}{{100}} \times 1000y \end{array}\)
⇒ 108xy + 118000y – 118xy = 114000y
⇒ 10x = 4000
∴ x = 400
∴ Quantity sold at 18% profit
= 1000 – 400 = 600 kg
Hence, the required answer is 600 kg,
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