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 ₹147 between Ishaan and Saanvi in the ratio 4 : 3. How much does Ishaan get (in ₹)?
- 2.Divide ₹342 between Kabir and Nisha in the ratio 5 : 4. How much does Kabir get (in ₹)?
- 3.Divide ₹816 between Vivaan and Priya in the ratio 9 : 7. How much does Priya get (in ₹)?
- 4.Divide ₹564 between Ishaan and Meera in the ratio 5 : 7. How much does Meera get (in ₹)?
- 5.Divide ₹612 between Arjun and Aarav in the ratio 8 : 9. How much does Aarav get (in ₹)?
- 6.Divide ₹81 between Farhan and Manav in the ratio 1 : 2. How much does Farhan get (in ₹)?
- 7.2 : 6 = 14 : ?
- 8.5 : 15 = 10 : ?
- 9.12 : 7 = 36 : ?
- 10.2 : 7 = 12 : ?
- 11.Divide ₹456 between Ananya and Aarav in the ratio 1 : 7. How much does Aarav get (in ₹)?
- 12.Divide ₹480 between Ananya and Karan in the ratio 3 : 7. How much does Ananya get (in ₹)?
- 13.11 : 9 = 77 : ?
- 14.5 : 9 = 35 : ?
- 15.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 16.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
- 17.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 18.8 : 10 = 16 : ?
- 19.7 : 9 = 28 : ?
- 20.Divide ₹225 between Kabir and Dev in the ratio 2 : 3. How much does Kabir get (in ₹)?
- 21.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
- 22.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
- 23.Divide ₹200 between Vivaan and Karan in the ratio 7 : 1. How much does Vivaan get (in ₹)?
- 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 25.Divide ₹396 between Pooja and Vivaan in the ratio 4 : 5. How much does Vivaan get (in ₹)?
- 26.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
- 27.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
- 28.6 : 3 = 12 : ?
- 29.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
- 30.5 : 3 = 10 : ?
- 31.Divide ₹460 between Meera and Zoya in the ratio 1 : 9. How much does Zoya get (in ₹)?
- 32.6 : 11 = 36 : ?
- 33.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
- 34.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
- 35.Divide ₹168 between Dev and Aarav in the ratio 5 : 7. How much does Dev get (in ₹)?
- 36.Divide ₹99 between Ananya and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
- 37.3 : 13 = 9 : ?
- 38.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 39.Divide ₹576 between Tara and Meera in the ratio 7 : 9. How much does Tara get (in ₹)?
- 40.Divide ₹72 between Ishaan and Priya in the ratio 1 : 3. How much does Priya get (in ₹)?
Answer key
- 84
- 190
- 357
- 329
- 324
- 27
- 42
- 30
- 21
- 42
- 399
- 144
- 63
- 63
- 225
- 27
- 54
- 20
- 36
- 90
- 21
- 36
- 175
- 16
- 220
- 54
- 8
- 6
- 27
- 6
- 414
- 66
- 8
- 18
- 70
- 11
- 39
- 80
- 252
- 54
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