Multiple choice

Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. At what price did Anju purchase the watch, which she sold to Ankush? I. Anju sold her watch to Ankush at 20% profit. II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch. III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.

  1. Only statements I and II

  2. Only statements I and III

  3. Only statements II and III

  4. Either statements I and II or statements I and III

  5. All three statements
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the cost price for Anju be x. Statement I gives the selling price as 1.2x. Statement II relates the selling price to Ritika's cost, allowing us to solve for x. Statement III provides a direct equation to solve for x independently. Thus, either I and II or I and III are sufficient.

AI explanation

Using statements I and III, if a 30 percent profit equals a 15 rupee increase over a 20 percent profit, then 10 percent of the cost price is 15 rupees, making Anju's purchase price 150 rupees. Alternatively, using statements I and II with the profit and loss method, if Anju's cost price is C, Ankush pays 1.2C, and Ritika pays 1.08C; setting 1.08C equal to C plus 12 yields a purchase price of 150 rupees. Either pair of statements successfully isolates the cost, so statements I and II or statements I and III are sufficient.

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