Aptitude Question ID : 94248
If x : y = 3 : 2, then the ratio $latex 2x^{2}+3y^{2} : 3x^{2}-2y^{2}&s=1$ is equal to :
[A]5 : 3
[B]6 : 5
[C]12 : 5
[D]30 : 19
30 : 19
$latex x : y = 3 : 2$
$latex => x^{2} : y^{2} = 9 : 4$
$latex \therefore \frac{2x^{2}+3y^{2}}{3x^{2}-2y^{2}} = \frac{2\frac{x^{2}}{y^{2}}+3}{3\frac{x^{2}}{y^{2}}-2}&s=1$
$latex = \frac{2\times \frac{9}{4}+3}{3\times \frac{9}{4}-2} = \frac{\frac{18+12}{4}}{\frac{27-8}{4}}&s=1$
$latex = 30 : 19$
Hence option [D] is correct answer.