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Maharashtra State BoardSSC (English Medium) 8th Standard

SSC (English Medium) 8th Standard - Maharashtra State Board Question Bank Solutions for Mathematics

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Mathematics
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Solve the following equation.

3x + 12 = 2x − 4

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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Solve the following equation.

5(x − 3) = 3(x + 2)

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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Solve the following equation.

`(9"x")/8` + 1 = 10

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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Solve the following equation.

`y/7 + (y - 4)/3 = 2`

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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Solve the following equation.

13x − 5 = `3/2`

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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Solve the following equation.

3(y + 8) = 10(y − 4) + 8

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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If marked price = ₹ 1700, selling price = ₹ 1540 then find the discount.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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If marked price = ₹ 990 and percentage of discount is 10, then find the selling price.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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Solve the following equation.

`("x" - 9)/("x" - 5) = 5/7`

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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If selling price = ₹ 900. Discount is 20%, then find the marked price.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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The marked price of the fan is 3000 rupees. Shopkeeper gave 12% discount on it. Find the total discount and selling price of the fan.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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The marked price of a mixer is 2300 rupees. A customer purchased it for Rs. 1955. Find percentage of discount offered to the customer.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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A shopkeeper gives 11% discount on a television set, hence the cost price of it is Rs. 22,250. Then find the marked price of the television set.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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Solve the following equation.

`("y" - 4)/3 +3"y"= 4`

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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After offering discount of 10% on marked price, a customer gets total discount of 17 rupees. To find the cost price for the customer, fill in the following boxes with appropriate numbers and complete the activity.

Suppose, marked price of the item = 100 rupees

Therefore, for customer that item costs `square` - `square`  = 90 rupees

Hence, when the discount is `square` then the selling price is `square` rupees. 

Suppose when the discount is `square` rupees, the selling price is x rupees.

∴ `x/square=square/square`

∴ x = `(squarexxsquare)/square`

∴ x = `square`

∴ the customer will get the item for 153 rupees.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by 25%. While selling the item, he offers 20% discount. Find how many more or less percent he gets on the decided price.

[9] Discount and Commission
Chapter: [9] Discount and Commission
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Solve the following equation.

`("b" + ("b" + 1) + ("b" + 2))/4 = 21`

[12] Equations in One Variable
Chapter: [12] Equations in One Variable
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The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student.

No. of saplings
(Scores) xi
No. of students
(frequency) fi
fi x xi
1 4 4
2 6 `square`
3 12 `square`
4 8 `square`
  N = `square` ∑fixi =  `square`

Mean `bar "x"` = `square/"N"`

= `square/square`

= `square`

∴ The average number of trees planted `square`

[11] Statistics
Chapter: [11] Statistics
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The number of Science and Mathematics projects submitted by Model high school, Nandpur in last 20 years at the state level science exibition is:
2, 3, 4, 1, 2, 3, 1, 5, 4, 2, 3, 1, 3, 5, 4, 3, 2, 2, 3, 2. Prepare a frequency table and find the mean of the data.

[11] Statistics
Chapter: [11] Statistics
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The number of members in the 40 families in Bhilar are as follows:

1, 6, 5, 4, 3, 2, 7, 2, 3, 4, 5, 6, 4, 6, 2, 3, 2, 1, 4, 5, 6, 7, 3, 4, 5, 2, 4, 3, 2, 3, 5, 5, 4, 6, 2, 3, 5, 6, 4, 2. Prepare a frequency table and find the mean of members of 40 families.

[11] Statistics
Chapter: [11] Statistics
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