If four fifths of one third of 75 % of a number is 27. What is the 2/3 of the number?
(A) 75
(B) 45
(C) 60
(D) 90
(E) 135
(A) 75
(B) 45
(C) 60
(D) 90
(E) 135
This one is easiest if you convert everything to fractions:
(4/5)(1/3)(3/4) = 1/5
So, (1/5)*x=27
Solve for x, which = 135.
Now, just calculate (2/3)*135=90, so the answer is D (90).
