A merchant has 1000 kg sugar, part of which sells at 8%

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A merchant has 1000 kg sugar, part of which sells at 8% profit and the rest at 18% profit. He gain 14% on the whole. The quantity sold at 8% profit is :

Let the quantity of sugar at 8% profit be y kg.
∴ Quantity of sugar sold at 18% = (100 – y) kg
According to the question,

y ×		108	+ (1000 - y) ×	118	=	1000 × 114
		100		100		100

⇒ 108y + 118000 – 118y = 114000
⇒ 118y - 108y = 118000 – 114000
⇒ 10y = 4000 ⇒ y = 400 kg