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 ₹408 between Arjun and Dev in the ratio 1 : 7. How much does Dev get (in ₹)?
- 2.5 : 15 = 10 : ?
- 3.Divide ₹143 between Ananya and Sneha in the ratio 9 : 4. How much does Ananya get (in ₹)?
- 4.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
- 5.3 : 13 = 6 : ?
- 6.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
- 7.Divide ₹75 between Dev and Aarav in the ratio 4 : 1. How much does Dev get (in ₹)?
- 8.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
- 9.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
- 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 12.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
- 13.4 : 3 = 20 : ?
- 14.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
- 15.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 16.Divide ₹210 between Rohan and Aditya in the ratio 6 : 1. How much does Aditya get (in ₹)?
- 17.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
- 18.Divide ₹224 between Manav and Vivaan in the ratio 5 : 2. How much does Vivaan get (in ₹)?
- 19.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
- 20.8 : 9 = 24 : ?
- 21.Divide ₹484 between Manav and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
- 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 23.Divide ₹253 between Kabir and Nisha in the ratio 9 : 2. How much does Kabir get (in ₹)?
- 24.9 : 8 = 18 : ?
- 25.11 : 2 = 44 : ?
- 26.9 : 5 = 72 : ?
- 27.5 : 8 = 35 : ?
- 28.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 29.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
- 30.11 : 9 = 77 : ?
- 31.3 : 15 = 6 : ?
- 32.2 : 6 = 6 : ?
- 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 34.9 : 11 = 63 : ?
- 35.6 : 7 = 42 : ?
- 36.Divide ₹42 between Dev and Vivaan in the ratio 2 : 1. How much does Dev get (in ₹)?
- 37.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 38.Divide ₹705 between Isha and Arjun in the ratio 8 : 7. How much does Arjun get (in ₹)?
- 39.Divide ₹300 between Rohan and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
- 40.3 : 13 = 21 : ?
Answer key
- 357
- 30
- 99
- 35
- 26
- 28
- 60
- 24
- 40
- 225
- 32
- 3
- 15
- 4
- 72
- 30
- 56
- 64
- 40
- 27
- 220
- 24
- 207
- 16
- 8
- 40
- 56
- 16
- 42
- 63
- 30
- 18
- 75
- 77
- 49
- 28
- 100
- 329
- 180
- 91
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