Question

Rs 3500 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 each of them get?

Answer 1

Total money to be shared = Rs. 3500

Let third person get = Rs. X 

So, second person gets 

\(={50\text%}\, of\, {X}\)

\(={X}\times\frac{50}{100}\)

= Rs.\(\frac{X}{2}\)

First person gets = 50% of 

\(\frac{X}{2}\)\(=\frac{1}{2}\times\frac{X}{2}\)

= Rs.\(\frac{X}{4}\)

We know that,

\(={X}+\frac{X}{2}+\frac{X}{4}\)

= 3500

\(={4X}+{2X}+{X}\)

= \({3500}\times{4}\)

\(={7X}={3500}\times{4}\)

\(={X}=\frac{3500\times4}{7}\)

= 2000

∴ third person get = Rs. 2000

∴ second person get

\(=\frac{X}{2}\)

\(=\frac{2000}{2}\)

= Rs.1000

∴ first person get

\(=\frac{X}{4}\)

\(=\frac{2000}{4}\)

= Rs. 500