Question : If p : q = 4 : 7 and q : r = 3 : 5, then what is the value of 2p : 3q : 5r ?
Option 1: 36 : 60 : 181
Option 2: 25 : 72 : 180
Option 3: 24 : 63 : 175
Option 4: 28 : 79 : 188
Correct Answer: 24 : 63 : 175
Solution :
Given: p : q = 4 : 7 and q : r = 3 : 5
Equating q in both the ratio, we get p : q : r = 12 : 21 : 35
Let the p, q, and r values be 12k, 21k, and 35k.
So, 2p : 3q : 5r = (2 × 12k) : (3 × 21k) : (5 × 35k) = 24k : 63k : 175k = 24 : 63 : 175
Hence, the correct answer is 24 : 63 : 175.
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