Multiple choice

$5$% more is gained by selling a watch for $Rs. 350$ than by selling it for $Rs. 340$. The cost price of the watch is

  1. $Rs. 110$
  2. $Rs. 140$
  3. $Rs. 200$
  4. $Rs. 250$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be x. Gain 1 = 350 - x. Gain 2 = 340 - x. Difference in gain = 10. Given 5% of CP = 10. 0.05x = 10, so x = 200.

AI explanation

Let the cost price be x, where selling for 340 gives a certain gain and selling for 350 gives a 5% higher gain. The difference in profit is 350 - 340 = 10, so using the profit percentage formula, 5% of the cost price equals 10. Calculating x gives 0.05x = 10, so the cost price is Rs. 200.