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 ₹230 between Kabir and Rohan in the ratio 3 : 2. How much does Kabir get (in ₹)?
- 2.5 : 4 = 35 : ?
- 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 4.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
- 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 6.Divide ₹85 between Diya and Sneha in the ratio 9 : 8. How much does Diya get (in ₹)?
- 7.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 8.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
- 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 10.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
- 11.Divide ₹234 between Aarav and Karan in the ratio 5 : 1. How much does Aarav get (in ₹)?
- 12.11 : 2 = 88 : ?
- 13.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
- 14.Divide ₹448 between Zoya and Manav in the ratio 1 : 7. How much does Zoya get (in ₹)?
- 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 16.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 17.3 : 12 = 6 : ?
- 18.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 20.Divide ₹165 between Pooja and Priya in the ratio 4 : 1. How much does Pooja get (in ₹)?
- 21.7 : 10 = 28 : ?
- 22.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
- 23.Divide ₹315 between Arjun and Isha in the ratio 8 : 1. How much does Isha get (in ₹)?
- 24.11 : 12 = 99 : ?
- 25.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 26.Divide ₹378 between Ananya and Meera in the ratio 2 : 5. How much does Meera get (in ₹)?
- 27.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
- 28.Divide ₹833 between Diya and Ananya in the ratio 8 : 9. How much does Diya get (in ₹)?
- 29.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 30.Divide ₹171 between Rahul and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
- 31.Divide ₹44 between Sneha and Aditya in the ratio 3 : 1. How much does Aditya get (in ₹)?
- 32.12 : 9 = 72 : ?
- 33.4 : 10 = 32 : ?
- 34.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
- 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 36.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
- 37.Divide ₹70 between Diya and Meera in the ratio 6 : 1. How much does Diya get (in ₹)?
- 38.Divide ₹390 between Manav and Arjun in the ratio 7 : 8. How much does Arjun get (in ₹)?
- 39.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 40.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
Answer key
- 138
- 28
- 8
- 72
- 150
- 45
- 144
- 20
- 32
- 60
- 195
- 16
- 40
- 56
- 28
- 54
- 24
- 80
- 200
- 132
- 40
- 24
- 35
- 108
- 24
- 270
- 24
- 392
- 64
- 19
- 11
- 54
- 80
- 64
- 63
- 10
- 60
- 208
- 16
- 45
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