Calculate the weighted aggregative index number for the following considering the base period consumption as a standard-Whine- P- 0 - Q- 0 - P- 1 - Q- 1 Whine A - 1 - 12 - 3 - 15 1WhineB - 6 - 10 - 8 - 111 -WhineC - 3 - 9 - 4 - 711WhineD - 12 - 15 - 19 - 20 1WhineE - 8 - 25 - 13 - 1811Whine -end array All prices are in dollars-A- 160-21B- 155C- 162-05D- 159-08

The correct option is D 159.08 Look at the table: [ amp; P_0 amp; Q_0 amp; P_1 amp; Q_1 amp; P_1Q_0 amp; P_0Q_0; A amp; ...

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Standard XI

Statistics

Laspeyre's Price Index

Calculate the...

Question

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

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} A & 1 & 12 & 3 & 15 B & 6 & 10 & 8 & 11 C & 3 & 9 & 4 & 7 D & 12 & 15 & 19 & 20 E & 8 & 25 & 13 & 18 \end{matrix}$

All prices are in dollars.

160.21

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155

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162.05

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159.08

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Solution

The correct option is D
159.08

Look at the table: $\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} & P_{1} Q_{0} & P_{0} Q_{0} A & 1 & 12 & 3 & 15 & 36 & 12 B & 6 & 10 & 8 & 11 & 80 & 60 C & 3 & 9 & 4 & 7 & 36 & 27 D & 12 & 15 & 19 & 20 & 285 & 180 E & 8 & 25 & 13 & 18 & 325 & 200 Total & 762 & 479 \end{matrix}$

$P_{01} = \frac{\sum P_{1} Q_{0}}{\sum P_{0} Q_{0}} \times 100 = \frac{762}{479} \times 100 = 159.08$

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Similar questions

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

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} A & 1 & 12 & 3 & 15 B & 6 & 10 & 8 & 11 C & 3 & 9 & 4 & 7 D & 12 & 15 & 19 & 20 E & 8 & 25 & 13 & 18 \end{matrix}$

All the prices are in dollars.

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

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

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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.

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

The weighted aggregative index number for the following table is given as 166.31 considering Paasche’s method. Find the approx.value of m.

$\begin{matrix} Commodity & Base Period & Current Period Price (P0) (In dollars) & Quantity (Q0) & Price (P1) (In dollars) & Quantity (Q1) H & 1 & 7 & 3 & 25 I & 10.5 & 10 & 7 & 11 J & m & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

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Calculate the weighted aggregative index number for the following considering the base period consumption as a standard: P0Q0P1Q1A112315B610811C3947D12151920E8251318 All prices are in dollars.

The correct option is D 159.08 Look at the table: P0Q0P1Q1P1Q0P0Q0A1123153612B6108118060C39473627D12151920285180E8251318325200Total762479 P01=∑P1Q0∑P0Q0×100=762479×100=159.08