Question
Download Solution PDFIf x : y = 6 : 5 and z : y = 9 : 25, then what is the ratio of x : z?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x : y = 6 : 5
And z : y = 9 : 25
Calculation :
x/y = 6/5 ---- (i)
And z/y = 9/25
⇒ y/z = 25/9 ---- (ii)
Multiply equation (i) and (ii) we get,
(x/y) × (y/z) = (6/5) × (25/9)
⇒ x/z = 10/3
∴ x : z = 10 : 3
Alternate Method
x : y = 6 : 5 ----- (i)
And z : y = 9 : 25 ---- (ii)
As y is in both the ratios, Multiply (i) × 5 to make equal value of y in both the ratios
x : y = (6 : 5) × 5 = 30 : 25 ---- (iii)
from (ii) and (iii), Since y is same in both the ratios
x : z = 30 : 9 = 10 : 3
Last updated on Jun 11, 2025
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