A trader has 200 kg of sugar, out of which he sells some with 10% profit and the rest with 25% profit. He gains 15% on the whole. Find the quantity of sugar sold at 25% profit?
120 kg
96.5 kg
84 kg
67 kg
Explanation:
Let CP of each kg. of sugar = Rs.1.
Cost Price of 200 kg of sugar = Rs.200.
Let quantity of sugar sold with 25% profit be X.
Therefore, (200 - X) kg of sugar sold at a profit of 10%
Then,
=> (125/100 $\times$ X) + 110/100 (200 - X) = 115/100 $\times$ 200
=> 125X + 110(200 - X) = 115 $\times$ 200
=> 125X + 22000 - 110X = 23000
=> 125X - 110X = 23000 - 22000
=> 15X = 1000
=> X = 1000/15
=> X = 66.66 kg =67(approx.)