A's amount is \(\cfrac{3}{4}\) of B's amount, and B's amount is \(1\cfrac{1}{5}\) times C's amount. What is the ratio of A's amount to C's amount?

Q.A's amount is \(\cfrac{3}{4}\) of B's amount, and B's amount is \(1\cfrac{1}{5}\) times C's amount. What is the ratio of A's amount to C's amount? (a) 19:20 (b) 10:9 (c) 9:10 (d) 20:19

Answer: C

\(A = B \times \cfrac{3}{4}\) Or, \(\cfrac{A}{B} = \cfrac{3}{4}\) So, \(A : B = 3 : 4 = 9 : 12\) Again, \(B = C \times 1\cfrac{1}{5}\) Or, \(\cfrac{B}{C} = \cfrac{6}{5}\) So, \(B : C = 6 : 5 = 12 : 10\) \(\therefore A : C = 9 : 10\)