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Bunuel
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Bunuel
The ratio of A to B is 7 to 3, the ratio of C to D is 5 to 4, and the ratio of E to F is 4 to 1. What is the ratio of B to F ?

(1) The ratio of D to E is 1 to 2.
(2) The ratio of A to D is 5 to 1.

For finding ratio of B to F, we need ratio of A or B to E or F
Statement 1 - We know the ratio of D to E. But there is nothing known about relation of A, B with C, D
Not sufficient

Statement 2 - Ratio of A to D is given but nothing is mentioned about relation of either A, B or C, D to E,F
Not sufficient

Combing both, we know the ratio of D to E and ratio of A to D. We can find the ratio of A to E. A is related to B and F is related to E. We can find the ratio of B to F using both statements.

Option C


can you please solve it in totality to get the value of B/F
it would really help
thank you
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Abhishekgmat87
Bunuel
The ratio of A to B is 7 to 3, the ratio of C to D is 5 to 4, and the ratio of E to F is 4 to 1. What is the ratio of B to F ?

(1) The ratio of D to E is 1 to 2.
(2) The ratio of A to D is 5 to 1.

For finding ratio of B to F, we need ratio of A or B to E or F
Statement 1 - We know the ratio of D to E. But there is nothing known about relation of A, B with C, D
Not sufficient

Statement 2 - Ratio of A to D is given but nothing is mentioned about relation of either A, B or C, D to E,F
Not sufficient

Combing both, we know the ratio of D to E and ratio of A to D. We can find the ratio of A to E. A is related to B and F is related to E. We can find the ratio of B to F using both statements.

Option C


can you please solve it in totality to get the value of B/F
it would really help
thank you

\(\frac{A}{D} = \frac{5}{1}\) , \(\frac{D}{E} = \frac{1}{2}\)
Multiplying both fractions, \(\frac{A}{E} = \frac{5}{2}\).

\(\frac{A}{B} = \frac{7}{3}\), \(\frac{B}{A} = \frac{3}{7}\)
\(\frac{A}{E} = \frac{5}{2}\)
Multiplying the 2 fractions, we get \(\frac{B}{E} = \frac{15}{14}\) - (i)

\(\frac{E}{F} = \frac{4}{1}\) - (ii)

Multiplying (i) and (ii), we get \(\frac{ B}{F} = \frac{30}{7}\)
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