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प्रश्न
Find x from following data if the Value Index Number is 200.
| Commodity | Base Year | Current Year | ||
| Prive | Quantity | Price | Quantity | |
| A | 10 | 10 | 20 | 10 |
| B | 8 | 20 | 22 | 15 |
| C | 2 | x | 8 | 10 |
| D | 9 | 10 | 16 | 10 |
| E | 5 | 6 | 3 | 10 |
उत्तर
| Commodity | Bae yer | Current Year | ||||
| Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
p0q0 | p1q1 | |
| A | 10 | 10 | 20 | 10 | 100 | 200 |
| B | 8 | 20 | 22 | 15 | 160 | 330 |
| C | 2 | x | 8 | 10 | 2x | 80 |
| D | 9 | 10 | 16 | 10 | 90 | 160 |
| E | 5 | 6 | 3 | 10 | 30 | 30 |
| Total | 380 + 2x | 800 | ||||
Form the table, `sum"p"_0"q"_0` = 380 + 2x, `sum"p"_1"q"_1` = 800
Value Index Number (V01) = `(sum"p"_1"q"_1)/(sum"p"_0"q"_0) xx 100`
∴ 200 = `800/(380 + 2x) xx 100`
∴ 380 + 2x = `800/200 xx 100`
∴ 380 + 2x = 400
∴ 2x = 20
∴ x = 10
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संबंधित प्रश्न
Quantity Index Number by Weighted Aggregate Method is given by ______.
Choose the correct alternative :
Value Index Number by Weighted Aggregate Method is given by
Fill in the blank :
Price Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Value Index Number by Weighted Aggregate Method is given by _______.
Solve the following problem :
Find the Price Index Number using Simple Aggregate Method. Consider 1980 as base year.
| Commodity | Price in 1980 (in ₹) | Price in 1985 (in ₹) |
| I | 22 | 46 |
| II | 38 | 36 |
| III | 20 | 28 |
| IV | 18 | 44 |
| V | 12 | 16 |
Choose the correct alternative:
`(sum"p"_1"q"_1"w")/(sum"p"_0"q"_0"w") xx 100` gives
Quantity Index Number by Weighted Aggregate Method is given by ______.
Find Quantity Index Number using Simple Aggregate method
| Commodity | A | B | C | D | E |
| Base year Quantity | 170 | 150 | 100 | 195 | 205 |
| Current year Quantity | 90 | 70 | 75 | 150 | 95 |
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 Price Index Number using Simple Aggregate method by taking 2000 as base year
| Commodity | Price (in ₹) for year 2000 |
Price (in ₹) for year 2007 |
| Watch | 900 | 1,475 |
| Shoes | 1,760 | 2,300 |
| Sunglasses | 60 | 1,040 |
| Mobile | 4,500 | 8,500 |
The Price Index Number for year 2004, with respect to year 2000 as base year. is known to be 130. Find the missing numbers in the following table if ∑p0 = 320
| Commodity | A | B | C | D | E | F |
| Price (in ₹) in 2000 | 40 | 50 | 30 | x | 60 | 100 |
| Price (in ₹) in 2000 | 50 | 70 | 30 | 85 | y | 115 |
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` |
Calculate the price index number for the given data.
| Commodity | A | B |
| Price in 2020 (₹) | 20 | 30 |
| Price in 2021 (₹) | 40 | 40 |
Give an economic term:
An index number measuring the general changes in the prices of goods over a period of time.
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Pooja collected information regarding a change in the quantity of imports of India from 2019 to 2020 and prepared an index number.
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) | `(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` |
