In what ratio must a person mix three kinds of tea costing Rs.60/kg, Rs.75/kg and Rs.100 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%?

A. 1 : 2 : 4
B. 3 : 7 : 6
C. 1 : 4 : 2
D. 1 : 4 : 3
E. 1 : 4 : 4
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I found this approach fool proof

Resultant mixture : x+y+z

SP = CP + 0.20 CP
SP = 1.2CP

1.2 * (60 x + 75y + 100z) = 96 ( x+y+z)
60 x + 75y + 100z = 80 x + 80y + 80 z

20z = 20 x + 5y

4z = 4x + y

No just put back the ratios to check the value, Only C satisfies

8 = 4 + 4
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