Digital Root Method for Percentage Questions

1.)  50% of 450 + x = 300

a) 52             b) 75              c) 42           d) 56          e) None
Now According to Digital Root Method
(5+0) of (4+5+0) + x = 3+0+0
5 of 9 + x = 3
45 + x = 3
9 + x = 3
Now Choose the value of x B/w 1 to 9 such that LHS = RHS
If we Put X value as 3 then LHS = RHS
So DIgital Root Of equation is = 3

now Apply Digital Root to Options
A) 52 = 5+2 = 7
B) 75 = 7+5 = 12 = 3 (Only This will match with above digital root)
c) 42 = 4+2 = 6
d) 56 = 5+6 = 11 = 2

2)  125% of 320 + x% of 125 = 440
a) 32    b) 51          c) 60        d) 30   e) None 

By Digital Root Method
(1+2+5) of (3+2+0) + x of 1+2+5 = 4+4+0
8 of 5 + x of 8 = 8
40 + 8x = 8
4 + 8x = 8
8x = 8-4
8x = 4
now Choose the X value b/w 1 to 9 such that LHS = RHS
so, x= 5 
8*5 = 4
40 = 4
4 = 4
SO, Value is 5


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