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 ₹532 between Vivaan and Farhan in the ratio 9 : 5. How much does Farhan get (in ₹)?
- 2.Divide ₹195 between Aarav and Tara in the ratio 5 : 8. How much does Tara get (in ₹)?
- 3.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
- 4.Divide ₹228 between Zoya and Pooja in the ratio 1 : 3. How much does Zoya get (in ₹)?
- 5.6 : 4 = 12 : ?
- 6.10 : 15 = 20 : ?
- 7.Divide ₹140 between Farhan and Priya in the ratio 2 : 3. How much does Farhan get (in ₹)?
- 8.Divide ₹440 between Isha and Priya in the ratio 9 : 1. How much does Priya get (in ₹)?
- 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 10.5 : 4 = 20 : ?
- 11.Divide ₹152 between Zoya and Kavya in the ratio 7 : 1. How much does Kavya get (in ₹)?
- 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 13.Divide ₹385 between Kabir and Ishaan in the ratio 1 : 6. How much does Kabir get (in ₹)?
- 14.7 : 8 = 63 : ?
- 15.Divide ₹403 between Isha and Meera in the ratio 4 : 9. How much does Isha get (in ₹)?
- 16.4 : 12 = 20 : ?
- 17.3 : 7 = 24 : ?
- 18.Divide ₹75 between Farhan and Ishaan in the ratio 1 : 4. How much does Farhan get (in ₹)?
- 19.2 : 5 = 12 : ?
- 20.9 : 3 = 27 : ?
- 21.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
- 22.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
- 23.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 24.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
- 25.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 26.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 27.Divide ₹459 between Aditya and Ishaan in the ratio 8 : 1. How much does Ishaan get (in ₹)?
- 28.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
- 29.Divide ₹432 between Pooja and Karan in the ratio 3 : 5. How much does Pooja get (in ₹)?
- 30.Divide ₹252 between Saanvi and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
- 31.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
- 32.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 33.Divide ₹154 between Ananya and Diya in the ratio 5 : 6. How much does Diya get (in ₹)?
- 34.7 : 4 = 49 : ?
- 35.Divide ₹156 between Manav and Saanvi in the ratio 1 : 2. How much does Manav get (in ₹)?
- 36.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
- 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 38.Divide ₹432 between Kavya and Sneha in the ratio 8 : 1. How much does Sneha get (in ₹)?
- 39.Divide ₹266 between Manav and Pooja in the ratio 6 : 1. How much does Manav get (in ₹)?
- 40.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
Answer key
- 190
- 120
- 72
- 57
- 8
- 30
- 56
- 44
- 45
- 16
- 19
- 100
- 55
- 72
- 124
- 60
- 56
- 15
- 30
- 9
- 54
- 36
- 128
- 24
- 16
- 64
- 51
- 40
- 162
- 108
- 10
- 8
- 84
- 28
- 52
- 14
- 81
- 48
- 228
- 40
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