Calculate the weighted aggregative index number for the following commodities considering the base period consumption as a standard:

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} H & 0.5 & 20 & 2.5 & 25 I & 10.5 & 10 & 7 & 11 J & 3.5 & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

All prices are in dollars.

150.27

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153.61

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162.09

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157.08

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Solution

The correct option is B
153.61

Look at the table below:

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} & P_{1} Q_{0} & P_{0} Q_{0} H & 0.5 & 20 & 2.5 & 25 & 50 & 10 I & 10.5 & 10 & 7 & 11 & 70 & 105 J & 3.5 & 8 & 4 & 12 & 32 & 28 K & 7 & 25 & 14 & 30 & 350 & 175 L & 15 & 13 & 22 & 18 & 286 & 195 Total & 788 & 513 \end{matrix}$

$P_{01} = \frac{\sum P_{1} Q_{0}}{\sum P_{0} Q_{0}} \times 100 = \frac{788}{513} \times 100 = 153.61$

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Similar questions

Calculate the weighted aggregative index number for the following considering the current period consumption as a standard:

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} H & 0.5 & 20 & 2.5 & 25 I & 10.5 & 10 & 7 & 11 J & 3.5 & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

All the prices are in dollars.

The weighted aggregative index number for the following table is given as 153.61 considering Laspeyres method. Find the approximate value of k.

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} H & 0.5 & 20 & 2.5 & 25 I & 10.5 & 10 & 7 & 11 J & 3.5 & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

Q. Following are the figures of marks obtained by 40 students. You ae required to arrange them in ascending and in descending order.

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10

Calculate the cost of living index number from the following data :

Q. Calculate Karl Pearson's coefficient between the marks (out of 30) in English and Hindi obtained by 10 students.

Marks in English	10	25	13	25	22	11	12	25	21	20
Marks in Hindi	12	22	16	15	18	18	17	23	24	17

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15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10

Calculate the weighted aggregative index number for the following commodities considering the base period consumption as a standard: P0Q0P1Q1H0.5202.525I10.510711J3.58412K7251430L15132218 All prices are in dollars.

The correct option is B 153.61 Look at the table below: P0Q0P1Q1P1Q0P0Q0H0.5202.5255010I10.51071170105J3.584123228K7251430350175L15132218286195Total788513 P01=∑P1Q0∑P0Q0×100=788513×100=153.61

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10