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

Edited By admin | Updated on Oct 05, 2023 05:01 PM | #CAT

Quick Facts

In an exam 52% of the candidates failed in science, 42% in maths and 17% in both. The number of those who passed in both subjects is:

83%

64%

23%

55.5%

A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

x is what % of y and word problems

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 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, $\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}} \right) \times 100$

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

Percentage $= $ \left(\frac{2,00,000}{10,00,000}\right) \times 100 = 20\% $$

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, $\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}} \right) \times 100$

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

Percentage $= $ \left(\frac{670}{800} \right) \times 100 = 83.75\% $$

Therefore, Ravi scored 83.75% marks.

Tips and Tricks:

Remember the formula: $\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}} \right) \times 100$
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.