Question : If p : q = 3 : 5 and p : r = 2 : 3, then what is the value of 3p : 4q : 3r?
Option 1: 12 : 8 : 9
Option 2: 18 : 40 : 27
Option 3: 10 : 5 : 4
Option 4: 9 : 5 : 4
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Correct Answer: 18 : 40 : 27
Solution :
Given: p : q = 3 : 5
p : r = 2 : 3
Multiply the first ratio by 2 and the second ratio by 3.
p : q = 6 : 10
p : r = 6 : 9
$\therefore$ p : q : r = 6 : 10 : 9
The value of 3p : 4q : 3r = 3 × 6 : 4 × 10 : 3 × 9 = 18 : 40 : 27
Hence, the correct answer is 18 : 40 : 27.
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