A merchant has 1000kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% overall. The quantity sold at 18% profit is-

Question: A merchant has 1000kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% overall. The quantity sold at 18% profit is-

Solution:
Let the sugar sell at 18% profit is = x
So, the sugar sell at of 8% profit = 1000-x

According to question,
18% of x + 8% of (1000 -x) = 14% of 1000
→ 18x/100 + (8000 - 8x)/100 = 14000/100
→ 18x + 8000 - 8x = 14000 (multiplying both sides by 100)
→ 10x = 6000
→ x = 600 kg