Ratio and Proportion Worksheet
The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).
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- 1.Divide ₹119 between Dev and Priya in the ratio 5 : 2. How much does Priya get (in ₹)?
- 2.9 : 13 = 18 : ?
- 3.12 : 7 = 60 : ?
- 4.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
- 5.Divide ₹585 between Farhan and Nisha in the ratio 7 : 6. How much does Nisha get (in ₹)?
- 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 7.Divide ₹928 between Karan and Priya in the ratio 9 : 7. How much does Karan get (in ₹)?
- 8.Divide ₹50 between Isha and Meera in the ratio 3 : 2. How much does Meera get (in ₹)?
- 9.10 : 3 = 20 : ?
- 10.Divide ₹198 between Karan and Diya in the ratio 5 : 1. How much does Diya get (in ₹)?
- 11.Divide ₹104 between Manav and Farhan in the ratio 3 : 1. How much does Manav get (in ₹)?
- 12.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
- 13.Divide ₹24 between Pooja and Sneha in the ratio 1 : 2. How much does Sneha get (in ₹)?
- 14.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
- 15.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
- 16.10 : 6 = 30 : ?
- 17.10 : 8 = 80 : ?
- 18.Divide ₹70 between Rahul and Sneha in the ratio 5 : 2. How much does Sneha get (in ₹)?
- 19.Divide ₹160 between Diya and Sneha in the ratio 5 : 3. How much does Diya get (in ₹)?
- 20.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
- 21.Divide ₹171 between Isha and Diya in the ratio 4 : 5. How much does Isha get (in ₹)?
- 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 23.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
- 24.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
- 25.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 26.6 : 5 = 48 : ?
- 27.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
- 28.7 : 14 = 42 : ?
- 29.Divide ₹234 between Isha and Rahul in the ratio 7 : 2. How much does Isha get (in ₹)?
- 30.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
- 31.12 : 8 = 108 : ?
- 32.4 : 6 = 36 : ?
- 33.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 34.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
- 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 37.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
- 38.Divide ₹168 between Kabir and Rohan in the ratio 6 : 1. How much does Kabir get (in ₹)?
- 39.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
- 40.Divide ₹121 between Aditya and Rohan in the ratio 5 : 6. How much does Rohan get (in ₹)?
Answer key
- 34
- 26
- 35
- 81
- 270
- 75
- 522
- 20
- 6
- 33
- 78
- 42
- 16
- 15
- 14
- 18
- 64
- 20
- 100
- 35
- 76
- 8
- 18
- 3
- 16
- 40
- 72
- 84
- 182
- 7
- 72
- 54
- 72
- 21
- 27
- 54
- 15
- 144
- 25
- 66
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