If goods be purchased for $ 450 and one third sold at a

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If goods be purchased for $ 450 and one third sold at a loss of 10%. At what gain per cent should the remainder be sold so as to gain 20% on the whole transaction?

1. 32%
2. 35%
3. 28%
4. 30%

Correct Option: B

Let the required gain % = y.

∴ 150 ×		90	+ 300 ×	(100 + y)	=	450 × 120
		100		100		100

⇒ 135 + 3 (100 + y ) = 540
⇒ 3 (100 + y) = 540 – 135 = 405

∴ 100 + y =	405	= 135
	3

⇒ y = 135 – 100 = 35%
Hence , required gain% is 35% .