PrashantPonde wrote:
A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
The options and numbers in the question are easy enough to merit a simple plug in.
He cannot intend to repair only 1 or 2 pairs tomorrow because a reduction of just $20 will not amount to cost of repairing one pair of loafers.
So try plugging in 3. If he repairs 3 pairs tomorrow at a price of $240/3 = $80 per pair, and if instead he brings down the cost to $60, he will need to repair 240/60 = 4 pairs of loafers. This works.
Answer (C)