Statistical Representation of DataMCQPYQ Jun 23Question 2644 of 295
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The following is the data related to the daily income of $86\displaystyle persons:income in ₹No. of persons:500-999151000-1499281500-1999362000-24997What is the percentage of persons earning at least $1,500 per day?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option a — $50\%$

All Options:

  • A$50\%$
  • B$45\%$
  • C$40\%$
  • D$60\%$

Detailed Solution & Explanation

To find the percentage of persons earning at least ₹$1,500$ per day, we analyze the given frequency distribution of daily income for the $86$ individuals: 1. The income brackets and the corresponding number of persons are: - ₹$500\displaystyle to ₹$999: $15$ persons - ₹$1,000\displaystyle to ₹$1,499: $28$ persons - ₹$1,500\displaystyle to ₹$1,999: $36$ persons - ₹$2,000\displaystyle to ₹$2,499: 7\displaystyle 7 persons 2. "At least ₹$1,500$ per day" means an income of ₹$1,500$ or more. This condition is satisfied by individuals in the last two brackets: "$1500-1999\displaystyle " and "$2000-2499". 3. Summing the frequencies of these two brackets, we get the total number of persons earning at least ₹$1,500$: Number of Persons=36+7=43 personsNumber of Persons=36+7=43\displaystyle \text{Number of Persons} = 36 + 7 = 43 persons\displaystyle \text{ persons} 4. We then calculate this group's percentage relative to the entire sample size of $86$ persons: Percentage=4386×100%=0.5×100%=50%Percentage=4386\displaystyle \text{Percentage} = \frac{43}{86} ×\displaystyle \times 100\% = 0.5 ×\displaystyle \times 100\% = 50\% Comparing this result to the given options, we find it matches Option A. Hence, **Option A** is the correct answer.

About This Chapter: Statistical Representation of Data

Paper

Paper 3: Quantitative Aptitude

Weightage

2-4 Marks

Key Topics

Data, Frequency Distribution, Graphical Representation

This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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