A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $228 for it, the cost price of the Cricket Bat for A is:  Choose the correct choice from the following answers:
A) 152 B) 120 C) 130 D) 160 E) 210

Rationale: "a 152 125 % of 120 % of a = 228 125 / 100 * 120 / 100 * a = 228 a = 228 * 2 / 3 = 152 ."
Answer: A