Multiple choice

Directions: The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly. What is the selling price of product A initially marked at Rs. 2500 and sold at successive discounts of x% and x + 5%? I. The selling price of product A will remain the same if it is sold at a discount of x + 20%. II. x is an even integer. III. x% of 200 is equal to 50% of 80.

  1. Only I

  2. Only II

  3. Only III

  4. Either I or III

  5. Even I, II and III together are not sufficient.

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

The final selling price is calculated as 2500 times (1 minus x/100) times (1 minus (x+5)/100). Statement I provides an equivalence where this same selling price equals 2500 times (1 minus (x+20)/100), allowing you to solve for x. Statement III states that x% of 200 is 50% of 80, which simplifies to 2x equals 40, meaning x is 20. Because both statement I and statement III independently allow you to find the value of x, either one is sufficient to determine the final selling price.