Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
If the income of $A$ is 10\% more than that of $B$ and the income of $B$ is 20\% less than that of $C$, then the incomes of $A, B$ and $C$ respectively are in the ratio
(a)11 : 10 : 8
(b)22 : 20 : 25
(c)10 : 9 : 7
(d)22 : 18 : 25
Answer
Answer (as printed): B
Explanation
Let C's income be ₹ $x$. Then, $B$ 's income $=80 \%$ of $$\begin{aligned} & ₹ x=₹\left(\frac{4 x}{5}\right) . \\ & A^{\prime} \text { s income }=110 \% \text { of } ₹\left(\frac{4 x}{5}\right)=₹\left(\frac{110}{100} \times \frac{4 x}{5}\right)=₹\left(\frac{22 x}{25}\right) . \\ & \therefore A: B: C=\frac{22 x}{25}: \frac{4 x}{5}: x=22: 20: 25 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.