Comparing Quantities 8.2

Full exercise on Comparing Quantities, fully solved. This is a video tutorial for 7th class NCERT CBSE students.

PERCENTAGE – ANOTHER WAY OF COMPARING QUANTITIES
Percentages are numerators of fractions with denominator 100 and have been used in comparing results.

Meaning of Percentage
Per cent is derived from Latin word ‘per centum’ meaning ‘per hundred’.

Percentages when total is not hundred
Converting Fractional Numbers to Percentage
Converting Decimals to Percentage
Converting Percentages to Fractions or Decimals
Parts always add to give a whole
Fun with Estimation

USE OF PERCENTAGES
Converting Percentages to “How Many”
A survey of 40 children showed that 25% liked playing football. How many children liked playing football?

Rahul bought a sweater and saved Rs 20 when a discount of 25% was given. What was the price of the sweater before the discount?

EXERCISE 8.2
1. Convert the given fractional numbers to per cents.
(a)1/8 (b)5/4 (c)3/40 (d)2/7

2. Convert the given decimal fractions to per cents.
(a) 0.65 (b) 2.1 (c) 0.02 (d) 12.35

3. Estimate what part of the figures is coloured and hence find the per cent which is coloured.

4. Find:
(a) 15% of 250 (b) 1% of 1 hour (c) 20% of Rs 2500 (d) 75% of 1 kg

5. Find the whole quantity if
(a) 5% of it is 600. (b) 12% of it is Rs 1080. (c) 40% of it is 500 km.
(d) 70% of it is 14 minutes.

6. Convert given per cents to decimal fractions and also to fractions in simplest forms:
(a) 25% (b) 150% (c) 20% (d) 5%

7. In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

8. Out of 15,000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?

9. Meeta saves Rs 400 from her salary. If this is 10% of her salary. What is her salary?

10. A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?

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