If $$\frac{p}{q}$$= 0.5, then  $$\frac{3p-q}{3p+q}$$​ is:

Correct option is B

Given:

​$$\frac{p}{q}=0.5$$​​

Solution:

= $$\frac{3p-q}{3p+q}$$​​

Taking q common from both numerator and denominator: 

= $$\frac{q(3\frac{p}{q}-1)}{q(3\frac{p}{q}+1)}$$​​

= $$\frac{3\frac{p}{q}-1}{3\frac{p}{q}+1}$$​​

= $$\frac{3(0.5)-1}{3(0.5)+1}$$​​

= $$\frac{1.5-1}{1.5+1}$$​​ = $$\frac{0.5}{2.5}= \frac{1}{5}$$

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