If x : y = 3 : 2, then the ratio 2x² + 3y² : 3x²

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If x : y = 3 : 2, then the ratio 2x² + 3y² : 3x² – 2y² is equal to :

1. 12 : 5
2. 6 : 5
3. 30 : 19
4. 5 : 3

Correct Option: C

Here	x	=	3
	y		2

∴	x²	=		3		²	=	9
	y²			2				4

Now		=	2		x²		+ 3
	2x² + 3y²				y²

	2x² - 3y²		3		x²		- 2

					y²

[On dividing N^r and D^r by y²]

=		2 ×	9		+ 3	=		9	+ 3
			4					2

		3 ×	9		- 2			27	- 2

			4					4

=	9 + 6	=		×
	2		15			4

	27 - 8		2			19

	4

=	30	= 30 : 19
	19