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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
Choose the correct alternative :
Price Index Number by Simple Aggregate Method is given by
Choose the correct alternative :
Quantity Index Number by Simple Aggregate Method is given by
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 :
Quantity Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Quantity Index Number by Weighted Aggregate Method is given by _______.
`sum ("p"_0"q"_0)/("p"_1"q"_1) xx 100` is Value Index Number by Simple Aggregate Method.
Solve the following problem :
Find the Value Index Number using Simple Aggregate Method.
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| I | 20 | 42 | 22 | 45 |
| II | 35 | 60 | 40 | 58 |
| III | 50 | 22 | 55 | 24 |
| IV | 60 | 56 | 70 | 62 |
| V | 25 | 40 | 30 | 41 |
Explain the types of index numbers.
Price Index Number by Weighted Aggregate Method is given by ______
State whether the following statement is True or False:
The three types of Index numbers are
i. Price Index Number
ii. Quantity Index Number
iii. Value Index Number
Find Price Index Number using Simple Aggregate method by taking 2005 as base year.
| Commodity | P | Q | R | S | T |
| Price in 2005 (in ₹) | 10 | 25 | 14 | 20 | 30 |
| Price in 2015 (in ₹) | 32 | 40 | 20 | 45 | 70 |
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 Value Index Number for the following using Simple Aggregate Method
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 30 | 13 | 40 | 15 |
| B | 40 | 15 | 70 | 20 |
| C | 10 | 12 | 60 | 22 |
| D | 50 | 10 | 90 | 18 |
| E | 20 | 14 | 100 | 16 |
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 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 |
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 |
