Question 12.

The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The cost price of the product was Rs. 240 per unit, and a fixed marked price was used for the product in all the four months. Discounts of 20%, 10% and 5% were given on the marked price per unit in January, February and March, respectively, while no discounts were given in April. If the total profit from January to April was Rs. 138825, then the marked price per unit, in rupees, was

A
B
C
D
Previous Question
Rate this Solution★★★★★
Next Question

Question Explanation

You have read 5 explanations without login

Text Explanation
The total number of products is $120+135+150+165= 570$. Therefore, the total cost must have been $570\times 240 = 136800$
Let the marked price for the products be $X$. The January, February, March, and April, selling prices would respectively be $0.8X$, $0.9X$, $0.95X$, and $X$; based on the discounts given on each of the months.
The revenue earned from selling the products in each of the months would be: $120*0.8X + 135*0.9X + 150*0.95X + 165*X = 525X$.
The profit earned would be: Revenue -  Cost, and therefore, 
$525X - 136800 = 138825$
$525X = 275625$
$X = \dfrac{275625}{525} = 525$
The correct answer is option B, Rs. 525.
Video Explanation
No video explanation yet — we're on it and uploading soon!

Master CAT Preparation with Previous Year Papers

Practicing CAT previous year papers is one of the most effective strategies for CAT exam preparation. By solving questions from CAT 2025 quant-slot-3 and other previous years, you can understand the exam pattern, difficulty level, and types of questions asked in the Common Admission Test.

Why Practice CAT Previous Year Questions?

  • Understand Exam Pattern: CAT previous papers help you familiarize yourself with the question format, marking scheme, and time management required for the actual exam.
  • Identify Important Topics: By analyzing CAT solved questions from multiple years, you can identify frequently asked topics and focus your preparation accordingly.
  • Improve Speed and Accuracy: Regular practice of CAT previous year papers enhances your problem-solving speed and accuracy, which are crucial for scoring well in the exam.
  • Build Confidence: Solving CAT previous year questions builds confidence and reduces exam anxiety by making you comfortable with the exam format.

How to Use CAT Previous Papers Effectively

  1. Solve Under Exam Conditions: Attempt CAT previous year papers in a timed environment to simulate the actual exam experience.
  2. Analyze Your Performance: After solving each CAT previous paper, analyze your mistakes and identify areas that need improvement.
  3. Review Solutions Thoroughly: Study the detailed solutions and explanations provided for each question to understand the correct approach and methodology.
  4. Focus on Weak Areas: Use CAT solved questions to identify your weak areas and dedicate more time to improving them.

CAT Exam Sections Covered

Our comprehensive collection of CAT previous papers covers all three sections of the exam:

  • VARC (Verbal Ability & Reading Comprehension): Practice reading comprehension passages, para jumbles, and other verbal ability questions from CAT previous years.
  • DILR (Data Interpretation & Logical Reasoning): Master DI and LR questions with detailed solutions from CAT previous year papers.
  • QA (Quantitative Ability): Solve arithmetic, algebra, geometry, and other quantitative ability questions from CAT solved papers.

Additional CAT Preparation Resources

Looking for more CAT preparation materials? Explore our comprehensive collection of:

Note: Regular practice of CAT previous year papers, combined with a structured study plan, is essential for achieving a high percentile in the CAT exam. Make sure to solve questions from all sections and review the solutions thoroughly to maximize your preparation effectiveness.

Quant Essentials
Quant Essentials