If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of (frac{3p – q}{4q + r})
-
A.
(frac{3}{2}) -
B.
(frac{2}{3}) -
C.
2 -
D.
3 -
E.
18
Correct Answer: Option B
Explanation
P : Q : r = 6 : 4 : 5
5 = 6 + 4 + 5
= 15
P = (frac{6}{15}), q = (frac{4}{15}), r = (frac{5}{15}) = (frac{1}{3})
To find (frac{3p – q}{4q + r})
3p – q = 3 x (frac{6}{15}) – (frac{4}{15})
(frac{18}{15}) – (frac{4}{15}) = (frac{14}{15})
∴ 4q + r = 4 x (frac{4}{15}) + (frac{5}{15})
(frac{16}{15}) = (frac{16}{15}) + (frac{5}{15})
= (frac{21}{15})
(frac{14}{15}) x (frac{15}{21}) = (frac{14}{21})
= (frac{2}{3})