Question

A:B = 4:5, B:C = 6:7and C:D = 14: 15. Find A:D.

• A. 25:16
• B. 16:25
• C. 4:5
• D. 5:4

Answer 1

The correct option is B

16:25

Here we have, A: B = 4: 5, B: C = 6: 7 and C: D = 14: 15
or $\frac{A}{B}$ = $\frac{4}{5}$, $\frac{B}{C}$ = $\frac{6}{7}$ and $\frac{C}{D}$ = $\frac{14}{15}$
or $\frac{A}{B}$ $\times$ $\frac{B}{C}$ $\times$ $\frac{C}{D}$ = $\frac{4}{5}$ $\times$ $\frac{6}{7}$ $\times$ $\frac{14}{15}$ [Multiplying all the ratios]
or $\frac{A}{D}$ = $\frac{16}{25}$
Thus, A:D = 16:25