Question

If x% of y is 150 and y% of z is 300 then find the relation bw x and z

Answer 1

Answer:

z = 2x

Step-by-step explanation:

$x\% \times y = 150 \\ y\% \times z = 300$

Now,

$\frac{x}{100} \times y = 150 \\ \frac{y}{100} = \frac{150}{x} \\ y\% = \frac{150}{x}$

Now,

$\frac{y}{100} \times z = 300 \\ \frac{y}{100} = \frac{300}{z} \\ y\% = \frac{300}{z}$

Equating both,

$y\% = y\% \\ \frac{150}{x} = \frac{300}{z} \\ 150 \times z = 300 \times x \\ 150z = 300x \\ z = \frac{300}{150}x = 2x$