If A : B = 7 : 5, B : C = 2 : 3, and C : D = 4 : 5, find the ratio A : D.
If A : B = 7 : 5, B : C = 2 : 3, and C : D = 4 : 5, find the ratio A : D.
यदिA : B = 7 : 5, B : C = 2 : 3, तथा C : D = 4 : 5 है तो A : D का अनुपात ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
56 : 75
A : B = 7 : 5
B : C = 2 : 3
C : D = 4 : 5
Make common terms equal:
A : B = 14 : 10
B : C = 10 : 15
So,
A : B : C = 14 : 10 : 15
Now match C with C : D = 4 : 5
LCM of 15 and 4 = 60
A : B : C = 56 : 40 : 60
C : D = 60 : 75
Therefore,
A : D = 56 : 75
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