A trader had 22 quintals of wheat. He sold a part of it

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A trader had 22 quintals of wheat. He sold a part of it at 23% profit and the rest at 33% profit, so that he made a total profit of 27%. How much wheat did he sell at 33% profit?

1. 1320 kg.
2. 440 kg.
3. 880 kg.
4. 1760 kg.

Correct Option: C

Let the C.P. of 1 quintal of wheat be Re.1.
Let the quantity of wheat sold at 33% profit be y quintals.
∴ Quantity of wheat sold at 23%
profit = (22 – y) quintals
According to the question ,

y ×		33	+ (22 - y) ×	23		= 22 ×	27
		100		100			100

⇒ 33y + 22 × 23 – 23y = 22 × 27
⇒ 10y + 506 = 594
⇒ 10y = 594 – 506 = 88

⇒ y =	88	= 8.8 quintals
	10

⇒ y = (8.8 × 100) kg. = 880 kg.