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Chapter 7: Comparing Quantities > What Have We Discussed?

What Have We Discussed?

1. A way of comparing quantities is percentage. Percentages are numerators of fractions with denominator . Per cent means per hundred.

For example 82% marks means 82 marks out of .

2. Fractions can be converted to percentages and vice-versa. For example, 14 = 14 × 100 % whereas, 75% = 75100 =

3. Decimals too can be converted to percentages and vice-versa. For example, 0.25 = 0.25 × 100% = %

4. 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 quantity are given to us as ratios, we have seen how to convert them to percentages.

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

  • (d) The profit or loss incurred in a certain transaction can be expressed in terms of percentages.

  • (e) While computing interest on 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.