Percentage and Average Calculations
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Questions and Answers

What is the average of the first 6 even numbers?

  • 8
  • 6
  • 9
  • 7 (correct)
  • What is the total age of the boys in the class before including the teacher's age?

  • 450
  • 420 (correct)
  • 400
  • 465
  • What is the total temperature recorded from Monday to Thursday?

  • 192 (correct)
  • 160
  • 200
  • 150
  • What was Sachin’s average score after 16 innings if the total score for 17 innings is given?

    <p>51.25</p> Signup and view all the answers

    How is the temperature for Tuesday to Thursday calculated based on the total recorded temperature?

    <p>150</p> Signup and view all the answers

    What is the new boy's age calculated from the average decrement?

    <p>7.5</p> Signup and view all the answers

    What is the equation used to find the 6th value in a series of results?

    <p>65</p> Signup and view all the answers

    What is the average temperature from Tuesday to Friday based on the total temperature?

    <p>52</p> Signup and view all the answers

    What is the required profit percentage when the cost price of the bicycle is 1200 and the selling price is 1500?

    <p>62.5%</p> Signup and view all the answers

    How much does the boy save monthly if he saves 50% of his total salary `400?

    <p>`200</p> Signup and view all the answers

    What is the annual savings amount if the boy saves `10 monthly?

    <p>`120</p> Signup and view all the answers

    What is 20% of `70?

    <p>`14</p> Signup and view all the answers

    If a bicycle's selling price is 1500 and its cost price is 1200, what is the absolute profit gained?

    <p>`300</p> Signup and view all the answers

    If a reduction of 15% is applied to an amount of `200, how much is the final amount after reduction?

    <p>`170</p> Signup and view all the answers

    What is 25% of 10 meters calculated in centimeters?

    <p>250 cm</p> Signup and view all the answers

    What will be the total salary if 20% of the salary equals `240?

    <p>`1200</p> Signup and view all the answers

    What is the required profit percentage if the selling price is $330 and the cost price is $300?

    <p>10%</p> Signup and view all the answers

    If 84% is the result after applying a 10% discount, what was the original price before the discount?

    <p>$600</p> Signup and view all the answers

    What is the new price of a car originally priced at $500000 after applying a 10% discount?

    <p>$450000</p> Signup and view all the answers

    How many marks did a student need to achieve to increase their overall score from 18 to 22?

    <p>4 marks</p> Signup and view all the answers

    If a student's performance increased to approximately 70%, what was their original score if they scored 725?

    <p>700</p> Signup and view all the answers

    What is the percentage of girls in a district if there are 240 girls out of a total population of 600?

    <p>40%</p> Signup and view all the answers

    If a population of 2,000,000 increases by 11% in one year, what will be the new population?

    <p>2,220,000</p> Signup and view all the answers

    When calculating 90% of 300 and adding 30% of 90, what is the resulting total?

    <p>297</p> Signup and view all the answers

    If the winning candidate received 60% of the total votes, what percentage of the votes did the defeated candidate receive?

    <p>40%</p> Signup and view all the answers

    In a school with 5600 students where 60% are boys, how many girls are there?

    <p>3360</p> Signup and view all the answers

    A boy scored 25 marks out of 80. If he fails by 15 marks, what is the passing mark?

    <p>30</p> Signup and view all the answers

    If a man's monthly income is such that after spending 85% he saves ₹4560, what is his monthly income?

    <p>₹32800</p> Signup and view all the answers

    To pass, a student needs 40% marks. If they score 20 marks and fail by 20 marks, what is the maximum marks possible?

    <p>80</p> Signup and view all the answers

    What is the per cent increase in population if it is stated to be 20%?

    <p>20%</p> Signup and view all the answers

    What is the percentage of marks obtained by a boy scoring 25 out of 80?

    <p>31.25%</p> Signup and view all the answers

    What is the total number of students in the school if the number of boys is 60% of 5600?

    <p>5600</p> Signup and view all the answers

    What is equivalent to 1/8 as a percentage?

    <p>16%</p> Signup and view all the answers

    If a man receives a 10% increase in salary and his new salary is ₹10,285, what was his original salary?

    <p>₹9,350</p> Signup and view all the answers

    What percentage of ₹2.50 is 40 paise?

    <p>8%</p> Signup and view all the answers

    What is 600% expressed in decimal form?

    <p>6.0</p> Signup and view all the answers

    If 36% of pupils in a school are girls and the number of boys is 816, how many girls are there?

    <p>459</p> Signup and view all the answers

    What is 20% of 60?

    <p>12</p> Signup and view all the answers

    If a student scores 60% in Maths and 3 marks less in Science, scoring a total of 150 marks, how many marks did he score in Science?

    <p>87</p> Signup and view all the answers

    Chalk contains 10% calcium, 3% carbon, and 12% oxygen. What is the amount of each in 1 kg of chalk?

    <p>100 g, 30 g, 120 g</p> Signup and view all the answers

    Study Notes

    Percentage Calculations

    • 150% is equivalent to 1.5 (Divide 150 by 100)
    • 84% is equivalent to 0.84 (Divide 84 by 100)
    • To find the percentage of a number, multiply the number by the percentage and then divide by 100.
    • 40% of 20% is 8%
    • X% is equal to X/100
    • 6.25% is equivalent to 0.0625 (Divide 6.25 by 100)
    • 20% is equivalent to 0.2 (Divide 20 by 100)
    • Expressing 1 as a percentage gives 100%
    • 40 paise is 16% of 2.50 rupees
    • 600% is equal to 6.0 (Divide 600 by 100)
    • 20% of 60 is equal to 12
    • To calculate a percentage of a given number, multiply the percentage by the number and then divide by 100.
    • 27 is 30% of 90 (Divide 27 by 90 and multiply by 100)
    • To find the percentage equivalence of two values, divide the smaller value by the larger value and multiply by 100.

    Age and Average Calculations

    • The average age of a group can be determined by dividing the total age of the group by the number of individuals in the group.
    • If the average age of a group is 25 and there are 2 individuals, then the total age of the group is 50
    • Given the total age and the number of individuals, the average age can be calculated.
    • Calculate total age of group by multiplying the average age by the number of people in the group.
    • Calculate the age of a new individual in a group by taking the difference between the total age of the group before and after the new member joins.

    Miscellaneous

    • Given the pass mark and the marks achieved by a student, the maximum marks can be calculated.
    • The total number of votes in an election can be calculated if percentage of votes received by respective candidates is given.

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    Chapter 11 to 12 PDF

    Description

    This quiz covers key concepts related to percentage calculations and how to compute averages. You'll learn formulas for converting percentages, calculating percentages of numbers, and determining average ages in different groups. Test your understanding through various examples and problems!

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