AP Board Class 7 Maths Chapter 7 Comparing Quantities Complete Guide

AP Board Class 7 Mathematics Chapter 7 – COMPARING QUANTITIES

Below are the key concepts will cover

1. 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.

2. Fractions can be converted to percentages and vice-versa.

For example, \( \frac{1}{4} = \frac{1}{4} \times 100\% \) whereas, \( 75\% = \frac{75}{100} = \frac{3}{4} \)

3. Decimals too can be converted to percentages and vice-versa.

For example, \(0.25 = 0.25 \times 100\% = 25\%\)

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.