Statistical Representation of DataMCQPYQ Jun 23Question 2644 of 295
All Questions

The following is the data related to the daily income of 86\displaystyle 86 persons:income in ₹No. of persons:500-999151000-1499281500-1999362000-24997What is the percentage of persons earning at least 1,500\displaystyle 1,500 per day?

Options

A50%\displaystyle 50\%
B45%\displaystyle 45\%
C40%\displaystyle 40\%
D60%\displaystyle 60\%
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — 50%\displaystyle 50\%

All Options:

  • A50%\displaystyle 50\%
  • B45%\displaystyle 45\%
  • C40%\displaystyle 40\%
  • D60%\displaystyle 60\%

Ad

Detailed Solution & Explanation

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

Related Comparison Tables

Mean vs Median vs Mode: Measures of Central TendencyCondition vs Warranty: Sale of Goods Act Guide

More Questions from Statistical Representation of Data

Mode can be obtained from________

The modes of presentation of data are:

The distribution of income is an example of frequency distribution of

In a frequency distribution, the relative frequency of the class is:

Histogram can be drawn when

Less than ‘o’give curve give

Ready to Master Statistical Representation of Data?

Practice all 295 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free