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The ratio is the method to show the relationship between two numbers or two quantities which indicate the number of times the first number contains the second. The ratio between two quantities is obtained by dividing the first quantity by the second. For example: the ratio between Rs 15 and Rs 30 = \(\frac{15}{30}\) = \(\frac{1}{2}\) = 1:2
There are three ways to write a ratio:
Let's divide Rs 450 among three persons in the ratio 2 : 3: 4
Since 2 + 3 + 4 =9
Solution:
Since 3 : 5 = 8
Rita's share = \(\frac{3}{8}\) \(\times\)Rs 240 = Rs 90
Renu"s share = \(\frac{5}{8}\)\(\times\) Rs 240 = Rs 150
Solution:
Here, Rs 3 = 300 paisa
Ratio of 75 paisa to Rs 3 = \(\frac{75}{300}\) = \(\frac{1}{4}\) = 1 : 4
Solution:
Given information,
5 hrs and 10 hrs.
First quantity = 5 hrs
Second quantity = 10 hrs
Ratio = \(\frac{5hrs}{10hrs}\)
= \(\frac{ 1}{2}\)
= 1 : 2
Solution:
Given information:
20 cm and 25 cm.
First quantity = 20 cm
Second quantity = 25 cm
Two quantities are of same units.
Ratio = \(\frac{20cm}{25cm}\)
= \(\frac{4}{5}\)
= 4 : 5
Solution:
Given information:
Rs 75 and 750 paisa.
First quantity = Rs 75
Second quantity = 750 paisa
Since two quantities are not of same unit. So, convert Rs 75 into paisa. = Rs 75\(\times\)100
= 7500 paisa
Now, both quantities are of same units.
Ratio = \(\frac{7500 paisa}{750 paisa}\)
= \(\frac{10}{1}\)
= 10 : 1
Solution:
First quantity = 750 grams
Second quantity = 1.5 kg
Sine both quantities are not of same units. So, 1.5 kg = 1.5\(\times\) 1000 = 1500 grams
Now,
Ratio = \(\frac{750 grams}{1500 grams}\)
= \(\frac{1}{2}\)
= 1 : 2
Solution:
Given information:
3 ft and 9 ft.
First quantity = 3 ft
Second quantity = 9 ft
Since, both quantities are of same units.
Ratio = \(\frac{3 ft}{9ft}\)
= \(\frac{1}{3}\)
= 1 : 3
Solution:
Since, 5 + 3 = 8
Saroj's share = \(\frac{3}{8}\)\(\times\) Rs 500 = Rs 187.5
Renu's share = \(\frac{5}{8}\)\(\times\)Rs 500 = Rs 312.5
Solution:
Since, 3 + 5 = 8
First's person = \(\frac{3}{8}\)\(\times\) Rs 296 = Rs 111
Second's person = \(\frac{5}{8}\)\(\times\) Rs 296 = Rs 185
Solution:
Here, Rs 9 = 900 paisa
Ratio of 90 paisa to Rs 9
Rs 9 = 9 \(\times\) 100 paisa = 900
= \(\frac{90}{900}\)
= \(\frac{1}{10}\) = 1 : 10
Express each ratios in the simplest form:
22: 66
Find the Ratio of the following:
5 hrs and 10 hrs.
Express ratios in the simplest form:
16:36
Express ratios in the simplest form:
7 : 49
Express ratios in the simplest form:
4 : 6
Express ratios in the simplest form:
6 : 15
Express ratios in the simplest form:
14 : 20
Express percent as a ratio:
12 %
Express percent as a ratio:
6.5 %
What is the ratio of 65 paisa to Rs 3.
A class of 32 students has 12 girls.What is the ratio of girls to boys?
A real horse is 1.8 m high.A statue of the horse is 3 n high. What is the ratio of the real horse to the height of the statue?
Two numbers are in ratio 2:7. If the second numbers is 378, find the first number.
Two numbers are in the ratio 2 : 7. If the first number is 24, find the second number.
Two numbers are in the ratio 4: 5. If the difference between these number is 24, then find the numbers.
ASK ANY QUESTION ON Ratio
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hritu kiran sharma
can we do directly without changing values ? like rs 3 and 75 paisa
Feb 04, 2017
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What is the ratio of a gross and 6 scores
What is the ratio of a gross and 6 scores
Jan 21, 2017
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two numbers are in ratio 3:4if 3 is added then the ratio becomes 2:3 find these numbers
Jan 14, 2017
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