Question

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

Answer 1

Let C get = Rs. x Then B's share = $x\times \frac{50}{100}=\frac{x}{2}and{A}^{\prime }sshare=\frac{x}{2}\times \frac{50}{100}=\frac{x}{4}Accordingtoquestion,x+\frac{x}{2}+\frac{x}{4}=7000\Rightarrow \frac{4x+2x+x}{4}=7000\Rightarrow 7x=7000\times 4\Rightarrow x=\frac{7000\times 4}{7}\Rightarrow x=4000\therefore Cget=Rs.4000B^{\prime }sshare=\frac{4000}{2}=Rs2000A^{\prime }sshare=\frac{4000}{4}=Rs1000$