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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
Complete the Correlation:
Price Index : Inflation :: ______ : Agricultural production
Distinguish between:
Price Index and Quantity Index.
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 :
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 :
Quantity Index Number by Weighted Aggregate Method is given by _______.
Fill in the blank :
Value 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.
`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 |
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 ______.
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
State whether the following statement is True or False:
`sum("q"_1)/("q"_0) xx 100` is the Quantity Index Number by Simple Aggregate Method
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 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) `(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 |
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.
State with reasons whether you agree or disagree with the following statement.
There are many types of index numbers.
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` |
