CAT x is what % of y and word problems - Practice Questions & MCQ

• The concept of finding what percentage one value is of another is a fundamental part of percentage calculations.
• It helps in understanding proportions and relative comparisons between values.
• General formula: \( \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}} \right) \times 100 \)
• For the concept "x is what % of y," we are given the value of x and y, and we need to find the percentage representation.

Word Problems - x is what % of y

• Word problems often involve real-life scenarios where the application of the "x is what % of y" concept is required.
• Let's solve some previous management entrance exam questions to understand this concept better:

Question 1: A company's revenue was ₹10,00,000, and the profit made was ₹2,00,000. What percentage of revenue is the profit?

Solution: Applying the formula,

Given: Part (Profit) = ₹2,00,000, Whole (Revenue) = ₹10,00,000

Percentage

Therefore, the profit is 20% of the revenue.

Question 2: Ravi obtained 670 marks out of 800 in an exam. What percentage of marks did he score?

Solution: Applying the formula,

Given: Part (Obtained Marks) = 670, Whole (Total Marks) = 800

Percentage

Therefore, Ravi scored 83.75% marks.

Tips and Tricks:

• Remember the formula:
• The "Part" in the formula represents the specific value you want to find the percentage of, and the "Whole" represents the total value.
• While solving word problems, read the question carefully to identify the "Part" and "Whole" values.
• Convert any fractions or decimals to percentages for easy comparison and interpretation of the solution.
• Practice solving multiple problems using this concept to master the calculations quickly.