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Tag: Comparing Quantities

  • Comparing Quantities | Study

  • Comparing Quantities | Study

  • Comparing Quantities | Study

  • Comparing Quantities | Study

  • Comparing Quantities | Study

    Comparing Quantities | Study

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    Pre – Requisite
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    Comparing Quantities: Weare often requiredto compare two quantities, in our dailylife. They may be heights, weights, salaries, marks etc. To compare two quantities, their units must be the same.

    We are often required to compare two quantities in our daily life. They may be heights, weights,salaries, marks etc. (Scroll down to continue …)

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    While comparing heights of two persons with heights150 cm and 75 cm, we write it as the ratio 150 : 75 or 2 : 1.

    Ratio: A ratio compares two quantities using a particular operation.

    Percentage: Percentage are numerators of fractions with denominator 100. Percent is represent by the symbol% and means hundredth too.

    Two ratios can be compared by converting them to like fractions. If the two fractions are equal,we say the two given ratios are equivalent.

    If two ratios are equivalent then the four quantities are said to be in proportion. For example, the ratios 8 : 2 and 16 : 4 are equivalent therefore 8, 2, 16 and 4 are in proportion.

    A way of comparing quantities is percentage. Percentages are numerators of fractions with denominator 100. Per cent means per hundred. For example 82% marks means

    82 marks out of hundred.

    Percentages are widely used in our daily life,

    (a) We have learnt to find exact number when a certain per cent of the total quantity is given.

    (b) When parts of a quantityare given to us as ratios, we have seen how to convert

    them to percentages.

    (c) The increase or decrease in a certainquantity can also be expressed as percentage.

    (d) The profit or loss incurredin a certain transaction can be expressedin terms of percentages.

    (e) While computing intereston an amount borrowed, the rate of interest is given in terms of per cents. For example, ` 800 borrowed for 3 years at 12% per annum. Simple Interest:Principal means the borrowed money.

    The extra money paid by borrower for using borrowedmoney for given time is called interest(I).

    The period for which the money is borrowed is called ‘TimePeriod’ (T).

    Rate of interestis generally given in percentper year.

    Interest, I = PTR/100

    Total money paid by the borrower to the lenderis called the amount.

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    • Comparing Quantities | Study

      Comparing Quantities | Study

      Assess
      Interact

      Pre-Requisires

      Test & Enrich

      Pre – Requisite
      English Version

      Comparing Quantities | Speed Notes

      Notes For Quick Recap

      Ratio: Comparing by division is called ratio. Quantities written in ratio have the sameunit. Ratio has no unit. (Scroll down to continue …)

      Study Tools

      Audio, Visual & Digital Content

      Equality of two ratios is called proportion. Product of extremes = Product of means
      Percentage: Percentage means for every hundred. The result of any division in
      whichthe divisor is 100 is a percentage. The divisor is denoted by a special
      symbol %, read as percent. Profit and Loss:
      (i) Cost Price (CP): The amount for which an article is bought. (ii) Selling Price (SP): The amount for which an article is sold. Additional expenses made after buying an article are included in the cost price
      and are known as overhead expenses. These may include expenses like amount
      spent onrepairs, labour charges, transportation, etc. Discount is a reduction given on marked price. Discount = Marked Price – Sale
      Price. Discount can be calculated when discount percentage is given. Discount

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      • Comparing Quantities | Study

        Comparing Quantities | Study

        Assess
        Interact

        Pre-Requisires

        Test & Enrich

        Pre – Requisite
        English Version

        Speed Notes

        Notes For Quick Recap

        Comparing Quantities: Weare often requiredto compare two quantities, in our dailylife. They may be heights, weights, salaries, marks etc. To compare two quantities, their units must be the same.

        We are often required to compare two quantities in our daily life. They may be heights, weights,salaries, marks etc. (Scroll down to continue …)

        Study Tools

        Audio, Visual & Digital Content

        While comparing heights of two persons with heights150 cm and 75 cm, we write it as the ratio 150 : 75 or 2 : 1.

        Ratio: A ratio compares two quantities using a particular operation.

        Percentage: Percentage are numerators of fractions with denominator 100. Percent is represent by the symbol% and means hundredth too.

        Two ratios can be compared by converting them to like fractions. If the two fractions are equal,we say the two given ratios are equivalent.

        If two ratios are equivalent then the four quantities are said to be in proportion. For example, the ratios 8 : 2 and 16 : 4 are equivalent therefore 8, 2, 16 and 4 are in proportion.

        A way of comparing quantities is percentage. Percentages are numerators of fractions with denominator 100. Per cent means per hundred. For example 82% marks means

        82 marks out of hundred.

        Percentages are widely used in our daily life,

        (a) We have learnt to find exact number when a certain per cent of the total quantity is given.

        (b) When parts of a quantityare given to us as ratios, we have seen how to convert

        them to percentages.

        (c) The increase or decrease in a certainquantity can also be expressed as percentage.

        (d) The profit or loss incurredin a certain transaction can be expressedin terms of percentages.

        (e) While computing intereston an amount borrowed, the rate of interest is given in terms of per cents. For example, ` 800 borrowed for 3 years at 12% per annum. Simple Interest:Principal means the borrowed money.

        The extra money paid by borrower for using borrowedmoney for given time is called interest(I).

        The period for which the money is borrowed is called ‘TimePeriod’ (T).

        Rate of interestis generally given in percentper year.

        Interest, I = PTR/100

        Total money paid by the borrower to the lenderis called the amount.

        Hindi Version

        Dig Deep

        Topic Level Resources

        Sub – Topics

        Select A Topic

        Topic:

        Chapters Index

        Select Another Chapter

        [display-posts category=”CBSE 7 – Mathematics – Study – Premium” posts_per_page=”25″]

        Assessments

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        Assess
        • Comparing Quantities | Study

          Comparing Quantities | Study

          Assess
          Interact

          Pre-Requisires

          Test & Enrich

          Pre – Requisite
          English Version

          Comparing Quantities | Speed Notes

          Notes For Quick Recap

          Ratio: Comparing by division is called ratio. Quantities written in ratio have the sameunit. Ratio has no unit. (Scroll down to continue …)

          Study Tools

          Audio, Visual & Digital Content

          Equality of two ratios is called proportion. Product of extremes = Product of means
          Percentage: Percentage means for every hundred. The result of any division in
          whichthe divisor is 100 is a percentage. The divisor is denoted by a special
          symbol %, read as percent. Profit and Loss:
          (i) Cost Price (CP): The amount for which an article is bought. (ii) Selling Price (SP): The amount for which an article is sold. Additional expenses made after buying an article are included in the cost price
          and are known as overhead expenses. These may include expenses like amount
          spent onrepairs, labour charges, transportation, etc. Discount is a reduction given on marked price. Discount = Marked Price – Sale
          Price. Discount can be calculated when discount percentage is given. Discount

          Hindi Version

          Dig Deep

          Topic Level Resources

          Sub – Topics

          Select A Topic

          Topic:

          Chapters Index

          Select Another Chapter

          [display-posts category=”CBSE 8 – Mathematics – Study – Premium” posts_per_page=”25″]

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