If the selling price of a watch is halved,the profit becomes quartered.Find…
2024
If the selling price of a watch is halved,the profit becomes quartered.Find the profit percentage of the watch?
- A.
50%
- B.
66.67%
- C.
100%
- D.
200%
Attempted by 44 students.
Show answer & explanation
Correct answer: D
Let cost price (CP) = x and selling price (SP) = y.
Original profit = y - x.
New SP after halving = y/2, so new profit = y/2 - x.
Given: new profit is one-quarter of the original profit, so
y/2 - x = (1/4)(y - x)
Multiply both sides by 4: 2y - 4x = y - x
Rearrange: 2y - 4x - y + x = 0 ⇒ y - 3x = 0 ⇒ y = 3x
Therefore profit = y - x = 3x - x = 2x, so profit percentage = (2x/x) × 100 = 200%.