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If P: Q = 6:5 and Q: R=3:4, then what is the value of Q: (P+R) ?
Question

If P: Q = 6:5 and Q: R=3:4, then what is the value of Q: (P+R) ?

A.

15:37

B.

14:37

C.

13:38

D.

15:38

Correct option is D

Solution:
For P:Q = 6:5,
Multiply both terms by 3 to match Q’s value with the second ratio (Q:R = 3:4):
P:Q = 18:15
For Q:R = 3:4
Multiply both terms by 5 to match Q’s value with the first ratio (P:Q = 18:15):
Q:R = 15:20
Now, P:Q:R = 18:15:20
Q : (P + R) = 15 : 18 + 20 = 15:38

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