# Divide Rs 7000 among A, B and C such that A gets 50%

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.

Solution:

Let Rs $x$ be the amount of money recieved by C.

Then, amount of money B gets $=(50 \%$ of Rs $x)$

Amount of money A gets $=(50 \%$ of B $)$

$=(25 \%$ of Rs $x)$

Now, $x+(50 \%$ of Rs $x)+(25 \%$ of Rs $x)=$ Rs 7000

$\Rightarrow x+\left(x \times \frac{50}{100}\right)+\left(x \times \frac{25}{100}\right)=\mathrm{Rs} 7000$

$\Rightarrow x+\frac{50 x}{100}+\frac{25 x}{100}=\mathrm{Rs} 7000$

$\Rightarrow\left(x+\frac{50 x}{100}+\frac{25 x}{100}\right)=\mathrm{Rs} 7000$

$\Rightarrow \frac{175 x}{100}=\mathrm{Rs} 7000$

$\Rightarrow x=\mathrm{Rs}\left(7000 \times \frac{100}{175}\right)$

$\Rightarrow x=\mathrm{Rs} 4000$

$\therefore$ C gets Rs 4000 .

Amount of money B gets $=(50 \%$ of Rs $x)$

$=(50 \%$ of Rs 4000$)$

$=\operatorname{Rs}\left(4000 \times \frac{50}{100}\right)$

$=\operatorname{Rs} 2000$

Amount of money A gets $=(25 \%$ of Rs $x)$

$=(25 \%$ of Rs 4000$)$

$=\operatorname{Rs}\left(4000 \times \frac{25}{100}\right)$

$=$ Rs 1000