Multiple choice

Directions: The question given below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. A shopkeeper sold a watch for Rs. 5,400. Find the profit % of the seller. (I) Discount offered was 25% on marked price and mark-up% was 60%. (II) Mark-up price was Rs. 7,200.

  1. The question can be answered by using statement I alone but cannot be answered using the other statement alone.

  2. The question can be answered by using statement II alone but cannot be answered using the other statement alone.

  3. The question can be answered by using either of the statements alone.

  4. The question can be answered using both of the statements together, but cannot be answered using either of the statements alone.

  5. The question cannot be answered even by using both the statements together.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I provides the discount percentage (25%) and the markup percentage (60%). Let CP = 100. Then MP = 160. SP = 160 * 0.75 = 120. Profit = 20%. This is sufficient. Statement II only gives the markup price, which is insufficient to determine profit percentage without the cost price.

AI explanation

Statement I provides both the mark-up percentage and the discount percentage, which allows you to calculate the cost price using the cost price of 100 rupees and finding the final selling price to compare with the given 5400 rupees. Using the mark-up of 60 percent, the cost price is 5400 divided by (1.60 multiplied by 0.75), which is sufficient to find the profit percentage. Statement II only gives the marked price as 7200 rupees, which when combined with the selling price of 5400 rupees only provides the discount, not the cost price or profit percentage. Therefore, the question can be answered by using statement I alone but cannot be answered using the other statement alone.

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