Question

If m is 30% of q ,q is20 % of p, n is 50% of p then what is m/n

Answer 1

Since, m is 30% of q

Therefore, $m = \frac{30}{100} \times q$

m = 0.3q   (Equation 1)

Since, q is 20% of p

Therefore, $q = \frac{20}{100} \times p$

q = 0.2p  (Equation 2)

Since, n is 50% of p

Therefore, $n = \frac{50}{100} \times p$

n = 0.5p   (Equation 3)

Now, we have to evaluate the value of $\frac{m}{n}$.

Consider $\frac{m}{n}$

Substituting the values of 'm' and 'n' from equation 1 and 3

$\frac{m}{n}$ =  $\frac{0.3q}{0.5p}$

Substituting the value of 'q' from equation 2, we get

$\frac{m}{n}= \frac{0.3 \times 0.2p}{0.5p}$

$\frac{m}{n}= \frac{0.06}{0.5}$

$\frac{m}{n}= 0.12$

So, the value of $\frac{m}{n}$ is 0.12