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 ₹35 between Kabir and Sneha in the ratio 3 : 4. How much does Kabir get (in ₹)?
- 2.Divide ₹279 between Isha and Pooja in the ratio 7 : 2. How much does Isha get (in ₹)?
- 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 4.Divide ₹117 between Sneha and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
- 5.Divide ₹91 between Manav and Meera in the ratio 6 : 1. How much does Manav get (in ₹)?
- 6.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
- 7.4 : 13 = 12 : ?
- 8.3 : 5 = 27 : ?
- 9.8 : 11 = 64 : ?
- 10.Divide ₹351 between Rohan and Isha in the ratio 4 : 5. How much does Rohan get (in ₹)?
- 11.Divide ₹294 between Pooja and Aarav in the ratio 5 : 2. How much does Pooja get (in ₹)?
- 12.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
- 13.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
- 14.2 : 13 = 4 : ?
- 15.8 : 11 = 24 : ?
- 16.Divide ₹140 between Rahul and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
- 17.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 18.Divide ₹90 between Saanvi and Vivaan in the ratio 1 : 8. How much does Vivaan get (in ₹)?
- 19.2 : 10 = 16 : ?
- 20.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
- 21.3 : 5 = 21 : ?
- 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 23.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 24.10 : 11 = 20 : ?
- 25.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
- 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 27.Divide ₹108 between Isha and Kavya in the ratio 4 : 5. How much does Isha get (in ₹)?
- 28.4 : 13 = 8 : ?
- 29.8 : 2 = 16 : ?
- 30.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 31.Divide ₹30 between Aarav and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
- 32.Divide ₹63 between Aditya and Kabir in the ratio 4 : 5. How much does Aditya get (in ₹)?
- 33.Divide ₹720 between Rohan and Arjun in the ratio 9 : 7. How much does Arjun get (in ₹)?
- 34.Divide ₹187 between Farhan and Nisha in the ratio 4 : 7. How much does Nisha get (in ₹)?
- 35.Divide ₹180 between Ananya and Saanvi in the ratio 1 : 2. How much does Ananya get (in ₹)?
- 36.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
- 37.Divide ₹33 between Karan and Priya in the ratio 1 : 2. How much does Karan get (in ₹)?
- 38.8 : 15 = 40 : ?
- 39.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
- 40.Divide ₹308 between Ananya and Rahul in the ratio 4 : 3. How much does Ananya get (in ₹)?
Answer key
- 15
- 217
- 80
- 91
- 78
- 30
- 39
- 45
- 88
- 156
- 210
- 72
- 20
- 26
- 33
- 56
- 27
- 80
- 80
- 4
- 35
- 16
- 24
- 22
- 10
- 36
- 48
- 26
- 4
- 75
- 12
- 28
- 315
- 119
- 60
- 10
- 11
- 75
- 3
- 176
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