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If three numbers P, Q, R are in ratio 6 : 4 : 5, find the va...

If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of 3pq4q+r

A.

32

B.

23

C.

2

D.

3

Correct answer is B

P : Q : r = 6 : 4 : 5

5 = 6 + 4 + 5

= 15

P = 615, q = 415, r = 515 = 13

To find 3pq4q+r

3p - q = 3 x 615 - 415

1815 - 415 = 1415

∴ 4q + r = 4 x 415 + 515

1615 = 1615 + 515

= 2115

1415 x 1521 = 1421

= 23