Index NumbersMCQPYQ May 18Question 3874 of 197
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If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150, what will be the index of 1970 on base 1960?

Options

A200
B300
C500
D600
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Correct Answer

Option b300

All Options:

  • A200
  • B300
  • C500
  • D600

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Detailed Solution & Explanation

We are given the indices for shifted bases: - Price Index of period 2 on base period 1 (P12\displaystyle P_{12}) = 200 - Price Index of period 1 on base period 0 (P01\displaystyle P_{01}) = 150 To find the index of period 2 on base period 0 (P02\displaystyle P_{02}), we apply the chain formula: P02=P01×P12100=150×200100=300P_{02} = \frac{P_{01} \times P_{12}}{100} = \frac{150 \times 200}{100} = 300 Thus, the index of 1970 on base 1960 is 300. Hence, **Option B** is the correct answer.

About This Chapter: Index Numbers

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Construction of Index Numbers, Time Series

This chapter covers Construction of Index Numbers, Time Series and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

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