Question : If A : B = 5 : 4, B: C = 6 : 5, C: D = 7 : 10, then what is the value of A : D?
Option 1: 21 : 25
Option 2: 7 : 3
Option 3: 21 : 20
Option 4: 25 : 24
Correct Answer: 21 : 20
Solution :
According to the question
A : B = 5 : 4
B : C = 6 : 5
C : D = 7 : 10
Now,
⇒ A : D = (5 : 4) × (6 : 5) × (7 : 10) = $\frac{5×6×7}{4× 5 × 10}$ = $\frac{210}{200}$ = $\frac{21}{20}$
Hence, the correct answer is 21 : 20
Related Questions
Question : If A : B = 3 : 2, B : C = 7 : 5 and C : D = 10 : 3, then what is A : D equal to?
Question : If $A:B: C=2:3:4$, then what will be the value of $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$?
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