If the ratio of 3x to 7y is 3 to 4, what is the ratio of x to y?

Question

A. 9:2
B. 9:4
C. 7:4
D. 4:7
E. 4:9

CrackverbalGMAT · Answer

A very straightforward question. Just have to cross multiply the numbers to get to the answer.

Given that  \frac{3x}{7y} = \frac{3}{4}

\frac{x}{y} = \frac{3 * 7}{4 * 3} = \frac{7}{4}

Therefore x : y = 7 : 4

Option C

Arun Kumar

gmatcafe · Answer

\frac{3x}{7y} = \frac{3}{4} 
 \frac{3x}{7y} * \frac{7}{3} = \frac{3}{4} * \frac{7}{3} 
 \frac{x}{y} = \frac{7}{4} 
 C)

Abhishek009 · Answer

\frac{3x}{7y} = \frac{3}{4}

So,  \frac{x}{7y} = \frac{1}{4}

Or,  \frac{x}{y} = \frac{7}{4} , Answer will be (C)

kntombat · Answer

\frac{3x}{7y} = \frac{3}{4} ;

3x*4=7y*3; 12x=21y;

\frac{x}{y} =  \frac{21}{12} ;
Reducing the values of the numerator and the denominator to the lowest possible terms =  \frac{7}{4} ;

Therefore the answer is C.

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