Question

Zain, Hamid and Harris share 2560 Rs.If Hamid's share is four times of Zain while Harris share is 1/3 of Hamid. What is Zain's share then?

Answer 1

Given that Zain, Hamid and Harris share 2560 Rs.

Let amount shared by Zain = a

Let amount shared by Hamid = b

Let amount shared by Harris = c

Then we can write equation:

a+b+c=2560...(i)

Given that "Hamid's share is four times of Zain " then we get:

b=4a...(ii)

Given that "Harris share is 1/3 of Hamid"  then we get:

c=b/3...(iii)

Plug (ii) and (iii) into (i)

a+b+c=2560

$a+4a+\frac{b}{3}=2560$

$a+4a+\frac{4a}{3}=2560$

$a+4a+\frac{4}{3}a=2560$

$(1+4+\frac{4}{3})a=2560$

$(\frac{19}{3})a=2560$

$a=2560*\frac{3}{19}$

$a=\frac{7680}{19}$

Hence share of zain was $\frac{7680}{19}$ which is approx 404.21 rupees.