if 3/5 p = 7/9 Q = 4/5 R then what is the ratio of P Q and R respectively
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Here, if the question is considered as (3/5) P = (7/2) Q = (7/5) R, then P:Q:R= 35:6:15
But if question is considered as 3/(5P) = 7/(2Q) = 7/(5R) ,then p:Q:R = 6:35:14
I'm solving here the 2nd part..
3/ 5P = 7/ 2Q = 7/ 5R = K
=> 3 = 5KP . . . . . .. . . . . . . .(1)
7 = 2KQ . . . . . . . . . . . . .(2)
7 = 5KR . . . . . . . . . . .(3)
By eq (1) ÷ (3)
3/7 = 5KP/5KR
=> P/R = 3/7 . . . . . . . . . . . .(4)
Now, eq (2) ÷ eq(3)
2Q/5R = 1/1
=> 5R = 2Q
=> R/Q = 2/5 . . . . . . . . . . .(5)
=> when R is 2x , Q is 5x
Therefore, when R is 7x, Q = 35x/2x = 35/2
This way, now P: Q: R =
3 : 35/2 : 7
= (6 : 35 : 14)
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