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HSC Commerce (Marathi Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Dependent variables are also known as ______

[11] Linear Regression
Chapter: [11] Linear Regression
Concept: undefined >> undefined

Choose the correct alternative:

Price Index Number by using Weighted Aggregate Method is given by

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

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Choose the correct alternative:

The formula P01 = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100` is for

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Choose the correct alternative:

Dorbish–Bowley’s Price Index Number is

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Choose the correct alternative:

Walsh's Price Index Number is given by

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Choose the correct alternative:

Fisher’s Price Index Number is

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

The average of Laspeyre’s and Paasche’s Price Index Numbers is called ______ Price Index Number

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

State whether the following statement is True or False:

Walsh’s Price Index Number is given by `(sum"p"_1sqrt("q"_0"q"_1))/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

State whether the following statement is True or False:

`(sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100` is Paasche’s Price Index Number

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

State whether the following statement is True or False:

`(sum"p"_0sqrt("q"_0 + "q"_1))/(sum"p"_1sqrt("q"_0 + "q"_1)) xx 100` is Marshall-Edgeworth Price Index Number

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

State whether the following statement is True or False:

`[sqrt((sum"p"_1"q"_1)/(sum"p"_0"q"_1)) + (sumsqrt("q"_0"q"_1))/(sum("p"_0 + "p"_1))] xx 100` is Fisher’s Price Index Number.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Calculate
a) Laspeyre’s
b) Passche’s
c) Dorbish-Bowley’s Price Index Numbers for following data.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 10 9 50 8
B 20 5 60 4
C 30 7 70 3
D 40 8 80 2
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Calculate Marshall-Edgeworth Price Index Number for following.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 8 20 11 15
B 7 10 12 10
C 3 30 5 25
D 2 50 4 35
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Calculate Walsh’s price Index Number for the following data.

Commodity Base Year Current Year
Price Quantity Price Quantity
I 10 12 40 3
II 20 2 25 8
III 30 3 50 27
IV 60 9 90 36
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

If P01(L) = 40 and P01(P) = 90, find P01(D-B) and P01(F).

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

If Laspeyre’s and Paasche’s Price Index Numbers are 50 and 72 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Numbers

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Given P01(M-E) = 120, `sum"p"_1"q"_1` = 300, `sum"p"_0"q"_0` = 120, `sum"p"_0"q"_1` = 320, Find P01(L)

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Find the missing price if Laspeyre’s and Paasche’s Price Index Numbers are equal for following data.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 1 10 2 5
B 1 12
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

If `sum"p"_0"q"_0` = 150, `sum"p"_0"q"_1` = 250, `sum"p"_1"q"_1` = 375 and P01(L) = 140. Find P01(M-E)

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Given the following table, find Walsh’s Price Index Number by completing the activity.

Commodity p0 q0 p1 q1 q0q1 `sqrt("q"_0"q"_1)` p0`sqrt("q"_0"q"_1)` p1`sqrt("q"_0"q"_1)`
I 20 9 30 4 36 `square` `square` 180
II 10 5 50 5 `square` 5 50 `square`
III 40 8 10 2 16 `square` 160 `square`
IV 30 4 20 1 `square` 2 `square` 40
Total     390 `square`

Walsh’s price Index Number is

P01(W) = `square/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`

= `510/square xx 100`

= `square`

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined
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