A B C and D have got some money with them If A gives 8 rupees to B B will have as much as C has and ...........

Logial Reasoning (CLAT) Arithmetical Reasoning

A, B, C and D have got some money with them. If A gives 8 rupees to B, B will have as much as C has and A will have 3 rupees less than what C has. Also if A takes 6 rupees from C, A will have twice as much money as D. If B and D together have 50 rupees, how much money does A and B have respectively ?

29, 32

27,40

32,29

40,27

Explanation:

Let A has Rs.x , B has Rs.y
If A gives Rs.8 to B then
A has x-8 ,
B has y+8
and B becomes equal to C,
so let C has Rs.y+8.
Also A will have Rs 3 less than C ,
x-8 = y+8-3 => x - y = 13. -(1)

If A takes Rs.6 from C then
A will have x+6 ,
C will have y+8-6 = y+2
and A becomes twice of D , let D has Rs.z
So now , x+6=2z. -(2)
B+D = Rs.50 => y+z = 50. -(3)

From eq(2) , z = (x+6)/2. Putting this value of z in eq (3) , we get , y+(x+6)/2 = 50 => 2y+x+6 = 100 => 2y+x = 94. -(4)

On solving eq (1) & (4) , we get y = 27
then , x = 40.
Therefore A has Rs. 40 and B has Rs. 27