If the compound ratio of (Z : 16) and (81 : P) is 9 : 16, then what is the compound ratio of (P - Z) : 24 and 30 : (Z + P)?
Answer & explanation
Correct answer: option 2
The compound ratio of (Z : 16) and (81 : P) is 9 : 16
⇒ \(\frac{Z}{16}\) × \(\frac{81}{P}\) = \(\frac{9}{16}\)
\(\frac{Z}{P}\) = \(\frac{1}{9}\) ⇒ Z : P = 1 : 9
Compound ratio of (P - Z) : 24 and 30 : (Z + P) can be written as
⇒ \(\frac{P - Z}{24}\) × \(\frac{30}{Z + P}\) = \(\frac{9 - 1}{24}\) × \(\frac{30}{10}\) = 1