The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 70 per cent. The two reductions together are equal to a single reduction of  Choose one
A) 45 %  B) 40 %  C) 35 %  D) 77.5 %  E) 30 %

Rationale: "price = p initially price reduced by 25 % which means new price is 3 / 4 p now on this new price further 70 percent is reduced which means the new price is merely 30 percent of 3 / 4 p = = > ( 3 / 4 ) x ( 3 / 10 ) p = 9 / 40 p is the new price after both deduction which is 22.5 percent of the original value p . this implies this entire series of deduction is worth having discounted 77.5 % of p . so answer is d = 77.5 %"
Answer: D