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

Options

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

Answer

B

Explanation

Let money with Jitendra = Rs. x
Money with Rajendra = Rs. y
Money with Raja = Rs. z
Then, according to the question
`y - 40 = 1/2 z " " ....(i)`
`z - 40 = y " " .....(ii)`
` z - 40 = x + 40 " " ......(iii)`
Putting the value of y from (ii) in (i), we get
`(z – 40) – 40 = 1/2 z`
or, `z = 160 `
So, `y = z - 40 = 160 - 40 = 120`.
Then, putting the value of z in (iii), we get
`160-40= x +40 `
or, `x = 80`
Therefore, the total amount of money
`= Rs. (x + y + z)`
`= Rs. (80 + 120 + 160) `
`= Rs. 360`