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HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

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

[13] Index Numbers
Chapter: [13] Index Numbers
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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
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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
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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
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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
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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
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Choose the correct alternative:

The constraint that in a college there are more scholarship holders in FYJC class (X) than in SYJC class (Y) is given by

[14] Linear Programming
Chapter: [14] Linear Programming
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Choose the correct alternative:

How does a constraint, “A washing machine can hold up to 8 kilograms of cloths (X)” can be given?

[14] Linear Programming
Chapter: [14] Linear Programming
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State whether the following statement is True or False:

The half-plane represented by 3x + 4y ≥ 12 includes the point (4, 3)

[14] Linear Programming
Chapter: [14] Linear Programming
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Tyco Cycles Ltd manufactures bicycles (x) and tricycles (y). The profit earned from the sales of each bicycle and a tricycle are ₹ 400 and ₹ 200 respectively, then the total profit earned by the manufacturer will be given as ______

[14] Linear Programming
Chapter: [14] Linear Programming
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By spending almost ₹ 250, Rakhi bought some kg grapes (x) and some dozens of bananas (y), then as a constraint this information can be expressed by ______

[14] Linear Programming
Chapter: [14] Linear Programming
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A doctor prescribed 2 types of vitamin tablets, T1 and T2 for Mr. Dhawan. The tablet T1 contains 400 units of vitamin and T2 contains 250 units of vitamin. If his requirement of vitamin is at least 4000 units, then the inequation for his requirement will be ______

[14] Linear Programming
Chapter: [14] Linear Programming
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Heramb requires at most 400 calories from his breakfast. Every morning he likes to take oats and milk. If each bowl of oats and a glass of milk provides him 80 calories and 50 calories respectively, then as a constraint this information can be expressed as ______

[14] Linear Programming
Chapter: [14] Linear Programming
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Ganesh owns a godown used to store electronic gadgets like refrigerator (x) and microwave (y). If the godown can accommodate at most 75 gadgets, then this can be expressed as a constraint by ______

[14] Linear Programming
Chapter: [14] Linear Programming
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Ms. Mohana want to invest at least ₹ 55000 in Mutual funds and fixed deposits. Mathematically this information can be written as ______

[14] Linear Programming
Chapter: [14] Linear Programming
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Choose the correct alternative:

The assignment problem is generally defined as a problem of ______

[15] Assignment Problem and Sequencing
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Choose the correct alternative: 

Assignment Problem is special case of ______

[15] Assignment Problem and Sequencing
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Choose the correct alternative:

When an assignment problem has more than one solution, then it is ______

[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
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