If 25% of A = 75% of B = C, then A : B : C is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 12 : 4 : 3
When several quantities are equal to one value, write each of them in terms of that value; the ratio then follows directly. Here 25% is \(\frac{1}{4}\) and 75% is \(\frac{3}{4}\).
\(\displaystyle \frac{A}{4}=C\), so \(A=4C\)
\(\displaystyle \frac{3B}{4}=C\), so \(\displaystyle B=\frac{4C}{3}\)
\(\displaystyle A:B:C=4C:\frac{4C}{3}:C=12:4:3\) (multiplying each term by \(\frac{3}{C}\))