Rs 7000 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will the third person get?

$We know that the total money to be shared is = Rs 7000$

$Let us consider third person get = Rs x$

$So, second person gets (50\% of third) = 50\% of x = \frac{50}{100} \times x = Rs \frac{x}{2}$

$Now, first person gets (50\% of second) = 50\% of \frac{x}{2} = \frac{50}{100} \times \frac{x}{2} = Rs \frac{x}{4}$

$We know that,\frac{x}{4} + \frac{x}{2} + x = 7000$

$by taking 4 as LCM \frac{(x+2x+4x)}{4} = 7000$

$By cross multiplying x+2x+4x = 7000 \times 4 7x = 28000 x = \frac{28000}{7} = 4000$

$\therefore Each of the person gets,$

$First person \left(\frac{x}{4}\right) gets = \frac{x}{4} = \frac{4000}{4} = Rs 1000$

$Second person \left(\frac{x}{2}\right) gets = \frac{x}{2} = \frac{4000}{2} = Rs 2000$

$Third person \left(x\right) gets = x = Rs 4000$