Multiple choice

Directions: The question given below is followed by two statements labelled I and II. You have to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. A vendor purchased some goods at 32% less than the marked price. Find the original marked price, if he made a profit of 20% after selling those goods. (I) Sum of cost price of the item and selling price was Rs. 17,952. (II) Profit made was equal to Rs. 1,632

  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 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
C Correct answer
Explanation

Let MP = M. CP = 0.68M. Profit = 20% of CP = 0.2 * 0.68M = 0.136M. SP = CP + Profit = 0.68M + 0.136M = 0.816M. Statement I: CP + SP = 17952 => 0.68M + 0.816M = 17952. This allows solving for M. Statement II: Profit = 1632 => 0.136M = 1632. This also allows solving for M.

AI explanation

From Statement I, we can find the cost price and selling price individually since Cost Price + Selling Price = 17952 and Selling Price = 1.2 * Cost Price, yielding a cost price of Rs. 8160. From Statement II, the profit of Rs. 1632 represents the 20% gain, so the cost price is 16352 / 1.2 = Rs. 8160. Once the cost price is found using either statement, the marked price is calculated as 8160 / 0.68 = Rs. 12000.

Keep practicing — related questions