If \(\frac{2}{3}\) of A = 75% of B = 0.6 of C, then A : C : B is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 9 : 10 : 8
The three expressions are equal, so each can be set equal to one common value \(k\); A, B and C are then found in terms of \(k\) and put in the order A : C : B that the question asks for.
\(\frac{2}{3}A=k\), so \(A=\frac{3k}{2}\)
75% of B \(=\frac{3}{4}B=k\), so \(B=\frac{4k}{3}\)
0.6 of C \(=\frac{3}{5}C=k\), so \(C=\frac{5k}{3}\)
\(\displaystyle A:C:B=\frac{3}{2}:\frac{5}{3}:\frac{4}{3}\); multiplying each term by 6 gives \(9:10:8\)
Tip: Read the order of the letters in the question. A : B : C here is 9 : 8 : 10, which is Option (1); the question asks for A : C : B.