Question

$5\%$ of income $A$ is equal to $15\%$ of incomes of $B$ and $10\%$ of income of $B$ is equal to $20\%$ of income of $C$. If $C^{\prime }$ s income is $Rs.2000,$ then the total income of $A,B$ and $C$ is

• A. $Rs.6000$
• B. $Rs.14000$
• C. $Rs.18000$
• D. $Rs.20000$

Answer 1

The correct option is C $Rs.18000$

Let income of A and B are x & y
Then 5% of A income=15% of income of B
$\Rightarrow \frac{5x}{100}=\frac{15y}{100}\Rightarrow 5x=15y$
Then 10% of income B=20% of income C
$\Rightarrow \frac{10y}{100}=\frac{2000}{\times }20$
$100\Rightarrow 10y=40000\Rightarrow y=4000$Rs

Income of A=x=$\frac{15\times 4000}{5}=12000$
Total income of A,B,C$=12000+4000+2000=18000$ Rs