Question

Divide $Rs.7000$ among $A,B$ and $C$ such that $A$ gets $50\%$ of what $B$ gets and $B$ gets $50\%$ of what $C$ gets.

• A. $A=2000,B=1000,C=4000$
• B. $A=4000,B=1000,C=2000$
• C. $A=2000,B=4000,C=1000$
• D. $A=1000,B=2000,C=4000$

Answer 1

The correct option is D $A=1000,B=2000,C=4000$

From given, we have,

$A+B+C=7000$

$50\%B+B+C=7000$

$50\%\left[50\%C\right]+50\%C+C=7000$

$C[50\%\times 50\%+50\%+1]=7000$

$C[\frac{50}{100}\times \frac{50}{100}+\frac{50}{100}+1]=7000$

$C[\frac{1}{2}\times \frac{1}{2}+\frac{1}{2}+1]=7000$

$C[\frac{1}{4}+\frac{1}{2}+1]=7000$

$C\times \frac{7}{4}=7000$

$\therefore C=Rs.4000$

$\therefore B=50\%C=\frac{50}{100}\times 4000=Rs.2000$

$\therefore A=50\%B=\frac{50}{100}\times 2000=Rs.1000$