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 ₹187 between Meera and Saanvi in the ratio 9 : 2. How much does Saanvi get (in ₹)?
- 2.8 : 3 = 48 : ?
- 3.2 : 5 = 16 : ?
- 4.4 : 6 = 36 : ?
- 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 6.Divide ₹384 between Zoya and Ananya in the ratio 7 : 9. How much does Zoya get (in ₹)?
- 7.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
- 8.Divide ₹174 between Zoya and Isha in the ratio 1 : 5. How much does Zoya get (in ₹)?
- 9.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
- 10.Divide ₹180 between Aarav and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
- 11.6 : 7 = 48 : ?
- 12.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
- 13.9 : 11 = 36 : ?
- 14.2 : 10 = 6 : ?
- 15.Divide ₹25 between Saanvi and Tara in the ratio 1 : 4. How much does Saanvi get (in ₹)?
- 16.Divide ₹88 between Pooja and Aditya in the ratio 1 : 3. How much does Pooja get (in ₹)?
- 17.Divide ₹50 between Tara and Arjun in the ratio 3 : 7. How much does Arjun get (in ₹)?
- 18.Divide ₹319 between Rohan and Manav in the ratio 4 : 7. How much does Rohan get (in ₹)?
- 19.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
- 20.Divide ₹64 between Diya and Nisha in the ratio 7 : 1. How much does Nisha get (in ₹)?
- 21.4 : 13 = 20 : ?
- 22.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
- 23.12 : 11 = 72 : ?
- 24.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
- 25.6 : 11 = 24 : ?
- 26.Divide ₹156 between Rahul and Meera in the ratio 6 : 7. How much does Meera get (in ₹)?
- 27.Divide ₹306 between Pooja and Aditya in the ratio 5 : 1. How much does Pooja get (in ₹)?
- 28.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 29.Divide ₹45 between Kabir and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
- 30.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
- 31.9 : 6 = 27 : ?
- 32.9 : 4 = 27 : ?
- 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 34.Divide ₹340 between Saanvi and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?
- 35.Divide ₹63 between Kabir and Pooja in the ratio 2 : 1. How much does Kabir get (in ₹)?
- 36.Divide ₹396 between Dev and Vivaan in the ratio 1 : 8. How much does Vivaan get (in ₹)?
- 37.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 38.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
- 39.Divide ₹522 between Nisha and Arjun in the ratio 5 : 4. How much does Nisha get (in ₹)?
- 40.7 : 13 = 14 : ?
Answer key
- 34
- 18
- 40
- 54
- 48
- 168
- 72
- 29
- 8
- 45
- 56
- 9
- 44
- 30
- 5
- 22
- 35
- 116
- 24
- 8
- 65
- 54
- 66
- 6
- 44
- 84
- 255
- 200
- 40
- 27
- 18
- 12
- 63
- 34
- 42
- 352
- 27
- 15
- 290
- 26
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