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SSC (Marathi Semi-English) इयत्ता १० वी - Maharashtra State Board Question Bank Solutions for Algebra Mathematics 1

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Algebra Mathematics 1
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Write the correct alternative for the following questions.
 If the Face Value of a share is Rs 100 and Market value is Rs 75, then which of the following statements is correct ?

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Write the correct alternative for the following questions.

 What is the amount of dividend received per share of face value Rs 10 and dividend declared is 50%.

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Find the purchase price of a share of FV Rs 100 if it is at premium of Rs 30. The brokerage rate is 0.3%.

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Prashant bought 50 shares of FV Rs 100, having MV Rs 180. Company gave 40% dividend on the shares. Find the rate of return on investment.

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Find the amount received when 300 shares of FV Rs 100, were sold at a discount of Rs 30.

 
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Find the number of shares received when Rs 60,000 was invested in the shares of FV Rs 100 and MV Rs 120.

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Smt. Mita Agrawal invested ₹ 10,200 when MV of the share is ₹ 100. She sold 60 shares when the MV was ₹ 125 and sold remaining shares when the MV was ₹ 90. She paid 0.1% brokerage for each trading. Find whether she made profit or loss? and how much?

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Market value of shares and dividend declared by the two companies is given below. Face Value is same and it is Rs. 100 for both the shares. Investment in which company is more profitable ?
(1) Company A - Rs 132, 12%
(2) Company B - Rs 144, 16%

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Draw a frequency polygon from the information given in the following table.

Age of blood donar (Years) No. of blood donars
Less than 20 0
Less than 25 30
75Less than 30 75
165Less than 35 127
Less than 40 165
Less than 45 185
Less than 50 197
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Sangeeta’s monthly income is Rs. 25,000. She spent 90% of her income and donated 3% for socially useful causes. How much money did she save ?

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In a handloom factory different workers take different periods of time to weave a saree. The number of workers and their required periods are given below. Present the information by a frequency polygon.

No. of days
8 - 10 10 - 12 12 - 14 14 - 16 16 - 18 18 - 20
No. of workers 5 16 30 40 35 14
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The time required for students to do a science experiment and the number of students is shown in the following grouped frequency distribution table. Show the information by a histogram and also by a frequency polygon.

Time required for
experiment (minutes)
20 - 22 22 - 24 24 - 26 26 - 28 28 - 30 30 - 32
No. of students 8 16 22 18 14 12
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Draw a frequency polygon for the following grouped frequency distribution table. 

Age of the donor
(Yrs.)
20 - 24 25 - 29 30 - 34 35 - 39 40 - 44 45 - 49
No. of blood doners 38 46 35 24 15 12
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The following table shows the average rainfall in 150 towns. Show the information by a frequency polygon. 

Average rainfall (cm)
0 - 20 20 - 40 40 - 60 60 - 80 80 - 100
No. of towns 14 12 36 48 40
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The maximum bowing speed (km/hour) or 33 players at a cricket coaching centre is given below:

Bowling Speed(km/hour) 85-100 100-115 115-130 130-145
Numbers of players  9 11 8 5

find the modal bowling speed of players. 

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The time required for some students to complete a science experiment and the number of students is shown in the following grouped frequency distribution table. Draw the frequency polygon with the help of histogram using given information: 

Time required for experiment (minutes)  Number of Students 
20 - 22 6
22 - 24 14
24 - 26 20
26 - 28 16
28 - 30 12
30 - 32 10
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Shri Shantilal has purchased 150 shares of FV ₹ 100, for MV of ₹ 120, Company has paid dividend at 7%, then to find the rate of return on his investment, complete the following activity:

Solution: FV = ₹ 100; Number of shares = 150

Market value = ₹ 120

1. Sum investment = MV × No. of Shares

= `square xx square`

∴ Sum investment = ₹ 18,000

2. Dividend per share = FV × Rate of dividend

= `square xx square/100`

= ₹ 7

∴ Total dividend received = 150 × 7

= `square`

3. Rate of return = `"Dividend income"/"Sum inve ted" xx 100`

= `1050/18000 xx 100`

= `square`

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If FV = ₹ 460 and premium = ₹ 165, then what is the value of MV?

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In the following frequency distribution, the heights of 90 students are recorded and the frequency polygon is drawn.

Heights 30 – 35 35 – 40 40 – 45 45 – 50 50 – 55 55 – 60
No. of Students 6 12 20 18 24 10

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A share is sold for the market value of Rs 1000. Brokerage is paid at the rate of 0.1%. What is the amount received after the sale?

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