Multiple choice

A shopkeeper sells a pair of sunglasses at a profit of $25\%$. If he had bought it at $25\%$ less and sold it for Rs. $10$ less then be would have gained $40\%$. The cost price of the pair of sunglasses is

  1. Rs. $25$
  2. Rs. $50$
  3. Rs. $60$
  4. Rs. $70$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. SP = 1.25x. New CP = 0.75x. New SP = 1.25x - 10. Profit = 40% => 1.25x - 10 = 1.4 * 0.75x. 1.25x - 10 = 1.05x. 0.2x = 10. x = 50.

AI explanation

Let the cost price of the sunglasses be Rs. x. The initial selling price at 25% profit is 1.25x. The new cost price is 0.75x, and selling it for Rs. 10 less means the new selling price is 1.25x - 10. Using the new profit condition, the equation is 1.25x - 10 = 1.40(0.75x). Solving 1.25x - 10 = 1.05x gives 0.20x = 10, resulting in a cost price of Rs. 50.

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