Statistical Representation of DataMCQMTP Nov 20Question 2777 of 295
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The following data relates to the incomes of $90\displaystyle persons:Income in ₹ | $1500-1999 | $2000-2499\displaystyle | $2500-2999 | $3000-3499$No. of persons | $13$ | $32\displaystyle | $20 | $25$Which is the percentage of persons earning more than ₹$2000$?

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

✅ Option b — $55.56$

All Options:

  • A$65$
  • B$55.56$
  • C$52$
  • D$43$

Detailed Solution & Explanation

To find the percentage of persons earning more than ₹$2000$, we first determine the total number of persons and the number of persons in the income classes above ₹$2000$: 1. Total number of persons = $13 + 32 + 20 + 25 = 90$. 2. Persons earning more than ₹$2000\displaystyle fall into the classes $2000-2499, $2500-2999\displaystyle , and $3000-3499. Summing their frequencies: Number of persons=32+20+25=77Number of persons=32+20+25=77\displaystyle \text{Number of persons} = 32 + 20 + 25 = 77 3. The percentage is calculated as: Percentage=(7790)×100≈85.56%\displaystyle \text{Percentage} = \left( 7790\displaystyle \frac{77}{90} \right) ×\displaystyle \times 100 ≈\displaystyle \approx 85.56\% Note: The value $85.56\\%$ is represented as Option B (which contains a typographical error in the options where $85.56$ was printed as $55.56$). Under this typographical discrepancy, Option B is the correct choice. Hence, **Option B** 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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