Question

$5\%$ of the income of A is equal to $15\%$ of the income of B and $10\%$ of the income of B is equal to $20\%$ of the income of C. If Cs 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 $I_A,I_B,I_C$ represent the incomes of A, B and C respectively

Given that,

$5\%$ of $I_A=15\%$ of $I_B$

$10\%$ of $I_B=20\%$ of $I_C$

$I_C=2000$

$\frac{10}{100}\times I_B=\frac{20}{100}\times 2000$

$\Rightarrow I_B=\frac{100}{10}\times \frac{400}{1}=4000$

$\frac{5}{100}\times I_A=\frac{15}{100}\times 4000$

$\Rightarrow I_B=\frac{100}{5}\times \frac{600}{1}=12000$

Total Income $=I_A+I_B+I_C=18000$