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DIGITAL TEXT 
BOOK 
BASED ON THE TOPIC ‘RATIO’
RATIIO 
Learning objectives: 
 Understand the concept – ratio. 
 solve problems based on ratio. 
 use the concept ratio in an unfamiliar task. 
Points to consider: 
RATIO: A ratio is the relationship between two quantities 
which expresses how many times one quantity is of the other 
quantity of the same kind and in the same unit. 
Remember: 
The two quantities must be of the same kind and in the 
same unit. 
The ratio between two quantities is obtained by dividing 
the first quantity by the second. 
A ratio is a pure number and has no unit. 
A ratio should always expressed in lowest terms.
EXAMPLE 1 
Which ratio is greater 3:7 or 10:21 ? 
Solution: 
(By converting each ratio into a decimal fraction). 
3:7=3/7=0.4285… and 10:21=10/21=0.4761… 
As 0.4761… is greater than 0.4285… 
EXAMPLE 2 
Divide 832 rupees into two parts in the ratio 4:9. 
Solution: 
Since, 4+9=13 
First part =4/13 of the whole=(4/13)*832=256 
Second part=9/13 of the whole=(9/13)*832=576
EXAMPLE 3 
Two numbers are in the ratio 5:4.If 3 is subtracted 
from the first and 2 is subtracted from the second, 
they become in the ratio 6:5.Find the numbers. 
Solution: 
Since, the numbers are in the ratio 5:4. 
Let the numbers be 5x and 4x. 
Given: (5x-3) ÷ (4x-2)=6 ÷5 
25x-15=24x-12 
25x-24x=15-12 
X=3 
Numbers are 15,12
TEST YOURSELF 
1.Since, 2Kg=……..g 
The ratio between 800g and 2kg=………=………=……… 
2.Can you express the ratio between 22 and 30 
in lowest terms. 
3.Which ratio is greater 5:7 or 11:24 ? 
4.The ratio of the number of boys to the number 
of girls in a school of 450 pupil is 4:5. Calculate 
the number of girls and boys? 
Answers 
1.2000g, 2:5 
2.11:15 
3.5:7 
4.200,250
Ratio and proportion

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Ratio and proportion

  • 1. DIGITAL TEXT BOOK BASED ON THE TOPIC ‘RATIO’
  • 2. RATIIO Learning objectives:  Understand the concept – ratio.  solve problems based on ratio.  use the concept ratio in an unfamiliar task. Points to consider: RATIO: A ratio is the relationship between two quantities which expresses how many times one quantity is of the other quantity of the same kind and in the same unit. Remember: The two quantities must be of the same kind and in the same unit. The ratio between two quantities is obtained by dividing the first quantity by the second. A ratio is a pure number and has no unit. A ratio should always expressed in lowest terms.
  • 3. EXAMPLE 1 Which ratio is greater 3:7 or 10:21 ? Solution: (By converting each ratio into a decimal fraction). 3:7=3/7=0.4285… and 10:21=10/21=0.4761… As 0.4761… is greater than 0.4285… EXAMPLE 2 Divide 832 rupees into two parts in the ratio 4:9. Solution: Since, 4+9=13 First part =4/13 of the whole=(4/13)*832=256 Second part=9/13 of the whole=(9/13)*832=576
  • 4. EXAMPLE 3 Two numbers are in the ratio 5:4.If 3 is subtracted from the first and 2 is subtracted from the second, they become in the ratio 6:5.Find the numbers. Solution: Since, the numbers are in the ratio 5:4. Let the numbers be 5x and 4x. Given: (5x-3) ÷ (4x-2)=6 ÷5 25x-15=24x-12 25x-24x=15-12 X=3 Numbers are 15,12
  • 5. TEST YOURSELF 1.Since, 2Kg=……..g The ratio between 800g and 2kg=………=………=……… 2.Can you express the ratio between 22 and 30 in lowest terms. 3.Which ratio is greater 5:7 or 11:24 ? 4.The ratio of the number of boys to the number of girls in a school of 450 pupil is 4:5. Calculate the number of girls and boys? Answers 1.2000g, 2:5 2.11:15 3.5:7 4.200,250