A merchant 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 ______?
A merchant 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 ______?
Explanation
( x × 8 ) + [ ( 1000 − x ) × 18 ] = 14 × 1000
Simplifying the equation:
−10x + 18000 = 14000
Solving for x:
x = 400
And finally, finding the quantity sold at 18% profit:
1000 − 400 = 600 kg