If the 2018 index with base 2015 is 250 and 2015 index with base 2012 is 150 , the index 2018 on base 2012 will be?

Option b: 375. Solution: We are given the indices for shifted bases: - Price Index of period 2 on base period 1 ( P12 ) = 250 - Price Index of period 1 on base period 0 ( P01 ) = 150 To find the index of period 2 on base period 0 ( P02 ), we apply the chain formula: P02 = 01 × P12100 = 150 × 250/100 = 375 Thus, the index of 2018 on base 2012 is 375. Hence, Option B is the correct answer.

If the $2018$ index with base $2015$ is $250$ and $2015$ index with base $2012$ is $150$, the index $2018$ on base $2012$ will be?

The correct answer is Option b: $375$. We are given the indices for shifted bases: - Price Index of period 2 on base period 1 ($P_{12}$) = 250 - Price Index of period 1 on base period 0 ($P_{01}$) = 150 To find the index of period 2 on base period 0 ($P_{02}$), we apply the chain formula: $$P_{02} = \frac{P_{01} \times P_{12}}{100} = \frac{150 \times 250}{100} = 375$$ Thus, the index of 2018 on base 2012 is 375. Hence, **Option B** is the correct answer.

Index NumbersMCQMTP Dec 23 Series IIQuestion 3926 of 197

All Questions

If the $\displaystyle 2018$ index with base $\displaystyle 2015$ is $\displaystyle 250$ and $\displaystyle 2015$ index with base $\displaystyle 2012$ is $\displaystyle 150$ , the index $\displaystyle 2018$ on base $\displaystyle 2012$ will be?

Options

\displaystyle 800

\displaystyle 375

\displaystyle 600

DNone of these

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — $\displaystyle 375$

All Options:

A $\displaystyle 800$
B $\displaystyle 375$
C $\displaystyle 600$
DNone of these

Detailed Solution & Explanation

We are given the indices for shifted bases: - Price Index of period 2 on base period 1 (

\displaystyle P_{12}

) = 250 - Price Index of period 1 on base period 0 (

\displaystyle P_{01}

) = 150 To find the index of period 2 on base period 0 (

\displaystyle P_{02}

), we apply the chain formula:

P_{02} = \frac{P_{01} \times P_{12}}{100} = \frac{150 \times 250}{100} = 375

Thus, the index of 2018 on base 2012 is 375. 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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If the 2018\displaystyle 20182018 index with base 2015\displaystyle 20152015 is 250\displaystyle 250250 and 2015\displaystyle 20152015 index with base 2012\displaystyle 20122012 is 150\displaystyle 150150, the index 2018\displaystyle 20182018 on base 2012\displaystyle 20122012 will be?