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प्रश्न
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 |
उत्तर
| Commodity | Base year price (in ₹) p0 |
Current year price (in ₹) p1 |
| P | 10 | 14 |
| Q | 8 | 10 |
| R | 12 | x |
| S | 24 | 28 |
| T | 18 | 22 |
| Total | 72 | 74 + x |
From the table, `sum"p"_0` = 72, `sum"p"_1` = 74 + x
P01 = `(sum"p"_1)/(sum"p"_0) xx100`
125 = `(74 + x)/2 xx 100`
∴ `(74 + x)/72 = 125/100`
∴ 74 + x = `5/4 xx 72`
∴ x = 90 – 74
∴ x = 16
संबंधित प्रश्न
Distinguish between:
Price Index and Quantity Index.
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 ______.
Fill in the blank :
Quantity Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Value Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Price Index Number by Weighted Aggregate Method is given by _______.
State whether the following is True or False :
`(sum"p"_1)/(sum"p"_0) xx 100` is the price Index Number by Simple Aggregate Method.
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 |
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 |
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 |
Price Index Number by Weighted Aggregate Method is given by ______
State whether the following statement is True or False:
`sum ("P"_1"q"_1)/("p"_0"q"_0) xx 100` is the Value Index Number by Simple Aggregate Method
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 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 |
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 |
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` |
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 |
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` |
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` |
