Multiple choice

Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer: What is the marked price of the shirt?I. A shopkeeper purchases 2 shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount.II. A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. The data in statements I alone or in statement II alone is sufficient to answer the question.

  4. The data in both the statements I and II is not sufficient to answer the question.

  5. The data in both the statements I and II together is necessary to answer the question.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I: 2 shirts for 2200, so CP = 1100. Profit = 55. SP = 1155. Discount = 23%, so 0.77 * MP = 1155. MP = 1500. Sufficient. Statement II: CP is not given, so insufficient.

AI explanation

From statement I, the cost price of one shirt is 2200 divided by 2, which is Rs. 1100. The selling price is the cost plus the profit, so 1100 + 55 = Rs. 1155. Since a 23% discount was given, the marked price multiplied by 0.77 equals 1155, meaning the marked price is 1155 divided by 0.77, which is Rs. 1500. Statement I provides exact values for the cost price, discount, and profit, which is sufficient to find the marked price, while statement II lacks the specific discount percentage needed to find the exact marked price. Therefore, the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient.

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