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    Solution of Percentage Test

    Uploaded by

    Mohammad Oli Ullah
    The document contains 5 word problems involving percentages. 1) A department store sells shirts for 80% above cost initially and then reduces the price to 20% above cost, generating a total gross income of 13500 Tk. 2) The marked price of an article is 200 Tk after two successive discounts of 10% and 5%. 3) An employer pays workers X, Y, and Z a total of 36600 Tk per week, where X receives 80% of what Z receives and 125% of what Y receives. 4) Given percentages of women of different age groups that play basketball, the percentage of players that are less than or equal to 50 years old is 70%. 5)

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    Solution of Percentage Test

    Uploaded by

    Mohammad Oli Ullah
    77 views2 pages
    The document contains 5 word problems involving percentages. 1) A department store sells shirts for 80% above cost initially and then reduces the price to 20% above cost, generating a total gross income of 13500 Tk. 2) The marked price of an article is 200 Tk after two successive discounts of 10% and 5%. 3) An employer pays workers X, Y, and Z a total of 36600 Tk per week, where X receives 80% of what Z receives and 125% of what Y receives. 4) Given percentages of women of different age groups that play basketball, the percentage of players that are less than or equal to 50 years old is 70%. 5)

    Original Description:

    Research on percentage of cell phone

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    The document contains 5 word problems involving percentages. 1) A department store sells shirts for 80% above cost initially and then reduces the price to 20% above cost, generating a total gross income of 13500 Tk. 2) The marked price of an article is 200 Tk after two successive discounts of 10% and 5%. 3) An employer pays workers X, Y, and Z a total of 36600 Tk per week, where X receives 80% of what Z receives and 125% of what Y receives. 4) Given percentages of women of different age groups that play basketball, the percentage of players that are less than or equal to 50 years old is 70%. 5)

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    77 views2 pages

    Solution of Percentage Test

    Uploaded by

    Mohammad Oli Ullah
    The document contains 5 word problems involving percentages. 1) A department store sells shirts for 80% above cost initially and then reduces the price to 20% above cost, generating a total gross income of 13500 Tk. 2) The marked price of an article is 200 Tk after two successive discounts of 10% and 5%. 3) An employer pays workers X, Y, and Z a total of 36600 Tk per week, where X receives 80% of what Z receives and 125% of what Y receives. 4) Given percentages of women of different age groups that play basketball, the percentage of players that are less than or equal to 50 years old is 70%. 5)

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    Chapter: Percentage

    1. A department store receives a shipment of 1,000 shirts, for which it pays Tk. 9,000. The
    store sells the shirts at a price 80 percent above cost for one month, after which it reduces
    the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts
    during the first month and 50 percent of the remaining shirts afterward. How much gross
    income did sales of the shirts generate?
    Solution:
    First month sold = 75% of 1000 = 750 shirts
    Remaining = 1000 – 750 = 250 shirts
    Second month sold = 50% of 250 = 125 shirts.
    1000 shirts cost = Tk. 9000
    1 shirt cost = Tk. = Tk. 9
    Gross Income = Income of first month + Income of second month
    = (180% of 9)×750 + (120% of 9)×125
    = Tk. (12150+ 1350)
    = Tk. 13500 (Ans.)

    2. The selling price of an article after giving two successive discounts of 10% and 5% on the
    marked price is Tk. 171. What is the marked price?
    Solution:
    Let, the marks price be Tk. 200x
    After 10% discount, selling price = 90% of 200x = Tk. 180x
    After another 5% discount, selling price = 95% of 180x = Tk. 171x
    As per question,
    171x = 171
    Or, x = =1
    ∴ 200x = 200
    ∴ The mark price = Tk. 200

    3. An employer pays 3 workers X, Y and Z a total of Tk. 36,600 a week. X is paid 125% of
    the amount Y is paid and 80% of the amount Z is paid. How much does X make a Week?
    Solution:
    Let, Z got = 125p. So, X got = 80% of 125p = 100p and Y got = = 80p
    As per question,
    125p+ 100p + 80p = 36600
    Or, 305p = 36600
    Or, p = 36600/305 = 120
    100p = Tk. 12000
    4. 40% of the women are above 30 years of age and 80 percent of the women
    are less than or equal to 50 years of age. 20 percent of all women play
    basketball. If 30 percent of the women above the age of 50 plays basketball,
    what percent of players are less than or equal to 50 years?
    Solution:
    Let, the number of women be100
    Women less than or equal to 50 years = 80% of 80 = 80 and women above 50
    years = 100-80 = 20
    The number of women plays basketball = 20% of 100 = 20
    The number of women, above 50, plays basketball = 30% of 20 = 6
    So remaining 14 women who plays basketball are less than or equal to 50 years
    Required percentage = ×100% = 70%

    5. A school has raised 75% of the amount it needs for a new building by
    receiving an average donation of Tk. 1200 from the parents of the students.
    The people already solicited represents the parents of 60% of the students. If
    the School is to raise exactly the amount needed for the new building, what
    should be the average donation from the remaining students to be solicited?
    Solution:
    Let, the number of parents be x who has been asked for the donations.
    People already solicited = 60% of x = 0.6x
    Remaining people = 40% of x = 0.4x
    Amount collected from the parents solicited= 1200 ×0.6x = 720x
    As per question,
    75% = 720x
    25% = = 240x
    Remaining amount = 240x
    Average donations from remaining parents = = 600

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