Multiple choice

A watch was sold at a loss of 10 percent. If it was sold for $70 more, there would have been a gain of 4 percent. What was the CP of the watch?

  1. $475
  2. $500
  3. $550
  4. $600
  5. $675
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Loss of 10% means SP = 0.9x. Gain of 4% means SP = 1.04x. The difference is 0.14x = 70. Thus, x = 70 / 0.14 = 500.

AI explanation

Let the cost price be 100 percent, so the initial selling price at a 10 percent loss is 90 percent. The new selling price represents a 4 percent gain, which is 104 percent, making the difference 14 percent. This 14 percent equals the $70 difference, meaning 1 percent equals $5. The cost price is 100 percent, so multiplying by 5 gives $500.