Question : If p : q = 4 : 5, q : r = 3 : 4 and r : s = 2 : 5, then p : s is:
Option 1: 2 : 5
Option 2: 6 : 25
Option 3: 5 : 2
Option 4: 25 : 6
Correct Answer: 6 : 25
Solution :
Here, we have,
Now first, take
As q is common in both. So, it should be equal for both
Multiply
Now,
As r is common in both. So, multiply by 10 in
⇒
Now, the new ratio of
Now, p : q : r : s = 12 : 15 : 20 : 50
⇒ p : s = 12 : 50 = 6 : 25
Thus, the ratio of p : s is 6 : 25.
Hence, the correct answer is 6 : 25.