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RATIO AND PROPORTION
 If two ratios are equal ,then the numbers or 
values in the ratio are said to be in proportion
Proportion says that two ratios 
(or fractions ) are equal 
Example :
 When things are “ in proportion “ then their relative sizes are the 
same 
Here you can see that the 
ratios of head length to body 
length are the same in both 
drawings. 
So they are proportional. 
Making the head too long or 
short would look bad!
OBSERVE 
= 1/2 =2/4 
= 4/ 8 
All these are in proportion
 There are 6 males and 2 females in a car. 
 There are 27 males and 9 females in a bus. 
o Ratio of men = 6/ 27 = 2/9 
o Ratio of female = 2/ 9 
Both the ratios are same, so they are 
proportional.
 Ramu worked 8 hours and got 400 rupees as wages. Benny 
worked 6 hours and got 300 Rupees. Are the wages proportional 
to the hours of work? 
Ans : 
Ratio of hours of work of Ramu and Benny = 8 : 6 
= 4 : 3 
Ratio of wages of Ramu and Benny = 400:300 
= 4 : 3 
Hours of work and wages are proportional
Review : 
10 litres of blue paint and 15 litre of white paint 
are mixed in one can . 12 litre of blue and 17 litre 
of white are mixed in another . Will the shades of 
blue in the two cans be the same ? Why?
Assignment 
Mathew invested 30000 rupees and Stephen 50000 
rupees to start a business. In one month they 
made a profit of 2400 rupees . Mathew took 900 
rupees and Stephen took 1500 rupees as their 
shares of profit . 
 What is the ratio of their investments ? 
 What is the ratio of their shares of the profit? 
 Are the shares proportional to the investments
THANK YOU

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Proportion slide

  • 1.
  • 3.  If two ratios are equal ,then the numbers or values in the ratio are said to be in proportion
  • 4. Proportion says that two ratios (or fractions ) are equal Example :
  • 5.  When things are “ in proportion “ then their relative sizes are the same Here you can see that the ratios of head length to body length are the same in both drawings. So they are proportional. Making the head too long or short would look bad!
  • 6. OBSERVE = 1/2 =2/4 = 4/ 8 All these are in proportion
  • 7.  There are 6 males and 2 females in a car.  There are 27 males and 9 females in a bus. o Ratio of men = 6/ 27 = 2/9 o Ratio of female = 2/ 9 Both the ratios are same, so they are proportional.
  • 8.  Ramu worked 8 hours and got 400 rupees as wages. Benny worked 6 hours and got 300 Rupees. Are the wages proportional to the hours of work? Ans : Ratio of hours of work of Ramu and Benny = 8 : 6 = 4 : 3 Ratio of wages of Ramu and Benny = 400:300 = 4 : 3 Hours of work and wages are proportional
  • 9. Review : 10 litres of blue paint and 15 litre of white paint are mixed in one can . 12 litre of blue and 17 litre of white are mixed in another . Will the shades of blue in the two cans be the same ? Why?
  • 10. Assignment Mathew invested 30000 rupees and Stephen 50000 rupees to start a business. In one month they made a profit of 2400 rupees . Mathew took 900 rupees and Stephen took 1500 rupees as their shares of profit .  What is the ratio of their investments ?  What is the ratio of their shares of the profit?  Are the shares proportional to the investments