Question

Robin says, "If Jai gives me Rs $40$, he will have half as much as Atul, but if Atul gives me Rs. $40$, then the three of us will all have the same amount. What is the total amount of money that Robin, Jai and Atul have between them?

• A. Rs. $240$
• B. Rs. $320$
• C. Rs. $360$
• D. Rs. $420$

Answer 1

Answer: (C)

Rs. $360$

Clearly, we have :
$J-40=\frac{1}{2}A$..............(i)
$A-40=J$ ...................(ii)
$A-40=R+40$ .....................(iii)
Solving (i) and (ii) simultaneously, we get : $J=120andA=160$.
Putting $A=160$ in (iii), we get $R=80.$
Total money $=R+J+A=Rs.(80+120+160)=Rs.360$.