If the ratio of X to Y is $\frac{3}{4}$ and the ratio of Y to Z is $\frac{12}{13}$, then the ratio of X to Z is
$ rac{13}{3}$
$ rac{1}{3}$
$ rac{4}{13}$
$ rac{9}{13}$
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2013
The ratio of Y to Z is given as $\frac{Y}{Z} = \frac{12}{13}$.
To find the ratio of X to Z ($\frac{X}{Z}$), we can multiply the two given ratios:
$\frac{X}{Y} \times \frac{Y}{Z} = \frac{X}{Z}$
Substituting the given values:
$\frac{3}{4} \times \frac{12}{13} = \frac{X}{Z}$
$\frac{3 \times 12}{4 \times 13} = \frac{X}{Z}$
$\frac{36}{52} = \frac{X}{Z}$
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4:
$\frac{36 \div 4}{52 \div 4} = \frac{9}{13}$
So, the ratio of X to Z is $\frac{9}{13}$.