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Question
Solve the following problem :
Find the Quantity Index Number using Simple Aggregate Method.
| Commodity | Base year quantity | Current year quantity |
| A | 100 | 130 |
| B | 170 | 200 |
| C | 210 | 250 |
| D | 90 | 110 |
| E | 50 | 150 |
Solution
| Commodity | Base Year Quantity q0 |
Current Year Quantity q1 |
| A | 100 | 130 |
| B | 170 | 200 |
| C | 210 | 250 |
| D | 90 | 110 |
| E | 50 | 150 |
| Total | 620 | 840 |
From the table, `sum"q"_0 = 620, sum"q"_1 = 840`
Quantity Index Number (Q01) = `(sum"q"_1)/(sum"q"_0) xx 100`
= `(840)/(620) xx 100`
= 135.48
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RELATED QUESTIONS
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Price Index Number by Simple Aggregate Method is given by
Quantity Index Number by Weighted Aggregate Method is given by ______.
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Price Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Quantity Index Number by Simple Aggregate Method is given by _______.
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Quantity Index Number by Weighted Aggregate Method is given by _______.
Calculate Quantity Index Number using Simple Aggregate method
| Commodity | I | II | III | IV | V |
| Base year Quantity | 140 | 120 | 100 | 200 | 225 |
| Current year Quantity | 100 | 80 | 70 | 150 | 185 |
Find x if the Price Index Number by Simple Aggregate Method is 125
| Commodity | P | Q | R | S | T |
| Base Year Price (in ₹) | 10 | 8 | 12 | 24 | 18 |
| Current Year Price (in ₹) | 14 | 10 | x | 28 | 22 |
Find values x and y if the Price Index Number by Simple Aggregate Method by taking 2001 as base year is 120, given `sum"p"_1` = 300.
| Commodity | A | B | C | D |
| Price (in ₹) in 2001 | 90 | x | 90 | 30 |
| Price (in ₹) in 2004 | 95 | 60 | y | 35 |
Choose the correct pair:
| Group A | Group B |
| A. Price Index | (a) `(sump_1q_1)/(sump_0q_0) xx 100` |
| B. Value Index | (b) `(sumq_1)/(sumq_0) xx 100` |
| C. Quantity Index | (c) `(sump_1q_1)/(sump_0q_1) xx 100` |
| D. Paasche's Index | (d) `(sump_1)/(sump_0) xx 100` |
Choose the correct pair :
| Group A | Group B |
| 1) Price Index | a) `(sum p_1q_1)/(sum p_0q_0) xx 100` |
| 2) Value Index | b) `(sum q_1)/(sum q_0) xx 100` |
| 3) Quantity Index | c) `(sum p_1q_1)/(sum p_0 q_1) xx 100` |
| 4) Paasche's Index | d) `(sum p_1)/(sum p_0) xx 100` |
Choose the correct pair:
| Group A | Group B |
| 1) Price Index | a) `(sump_1q_1)/(sump_0 q_0) × 100` |
| 2) Value Index | b) `(sumq_1)/(sumq_0) × 100` |
| 3) Quantity Index | c) `(sump_1q_1)/(sump_0 q_1) × 100` |
| 4) Paasche's Index | d) `(sump_1)/(sump_0) × 100` |
Calculate the price index number for the given data.
| Commodity | A | B |
| Price in 2020 (₹) | 20 | 30 |
| Price in 2021 (₹) | 40 | 40 |
Explain the meaning of the Price Index Number.
Identify and explain the concept from the given illustration:
Pooja collected information regarding a change in the quantity of imports of India from 2019 to 2020 and prepared an index number.
Choose the correct pair :
| Group A | Group B | ||
| 1) | Price Index | a) |
`(sump1q1)/(sump0q0)xx100` |
| 2) | Value Index | b) | `(sumq1)/(sumq0)xx100` |
| 3) | Quantity Index | c) | `(sump1q1)/(sump0q1)xx100` |
| 4) | Paasche's Index | d) | `(sump1)/(sump0)xx100` |
State with reasons whether you agree or disagree with the following statement.
There are many types of index numbers.
Observe the following table and answer the questions given below it:
| Commodities | Prices in 2006 (in ₹) (Base Year) P0 | Prices in 2006 (in ₹) (Current Year) P1 |
| A | 20 | 30 |
| B | 30 | 45 |
| C | 40 | 60 |
| D | 50 | 75 |
| E | 60 | 90 |
Questions:
- Write the formula for calculation of price index.
- Find the value of ∑P0 and ∑P1.
- Find the price index P01.
Choose the correct pair :
| Group A | Group B | ||
| 1) | Price Index | a) | `(sump_1q_1)/(sump_0q_0) xx 100` |
| 2) | Value Index | b) | `(sumq_1)/(sumq_0) xx 100` |
| 3) | Quantity Index | c) | `(sump_1q_1)/(sump_0q_1) xx 100` |
| 4) | Paasche's Index | d) | `(sump_1)/(sump_0) xx 100` |
Choose the correct pair:
| Group A | Group B | ||
| 1) | Price Index | a) | `(sum"p"_1"q"_1)/(sum"p"_0"q"_0)xx100` |
| 2) | Value Index | b) | `(sum"q"_1)/(sumq"_0)xx100` |
| 3) | Quantity Index | c) | `(sum"p"_1"q"_1)/(sum"p"_0"q"_1)xx100` |
| 4) | Paasche's Index | d) | `(sum"p"_1)/(sum"p"_0")xx100` |
