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 ₹99 between Saanvi and Pooja in the ratio 2 : 1. How much does Saanvi get (in ₹)?
- 2.Divide ₹148 between Diya and Priya in the ratio 3 : 1. How much does Priya get (in ₹)?
- 3.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 4.Divide ₹52 between Farhan and Dev in the ratio 3 : 1. How much does Farhan get (in ₹)?
- 5.10 : 15 = 70 : ?
- 6.Divide ₹286 between Arjun and Kavya in the ratio 9 : 4. How much does Arjun get (in ₹)?
- 7.Divide ₹280 between Ananya and Vivaan in the ratio 2 : 3. How much does Ananya get (in ₹)?
- 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 9.6 : 12 = 18 : ?
- 10.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
- 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 12.Divide ₹126 between Aarav and Kavya in the ratio 1 : 6. How much does Kavya get (in ₹)?
- 13.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
- 14.Divide ₹442 between Isha and Ananya in the ratio 8 : 9. How much does Isha get (in ₹)?
- 15.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
- 16.Divide ₹528 between Vivaan and Rohan in the ratio 6 : 5. How much does Rohan get (in ₹)?
- 17.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 18.2 : 5 = 10 : ?
- 19.9 : 4 = 45 : ?
- 20.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
- 21.11 : 12 = 99 : ?
- 22.Divide ₹248 between Ananya and Zoya in the ratio 1 : 7. How much does Ananya get (in ₹)?
- 23.4 : 5 = 32 : ?
- 24.10 : 11 = 40 : ?
- 25.5 : 9 = 10 : ?
- 26.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
- 27.Divide ₹605 between Aditya and Zoya in the ratio 9 : 2. How much does Aditya get (in ₹)?
- 28.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
- 29.4 : 11 = 32 : ?
- 30.Divide ₹110 between Zoya and Ananya in the ratio 6 : 5. How much does Zoya get (in ₹)?
- 31.Divide ₹350 between Kavya and Diya in the ratio 1 : 9. How much does Kavya get (in ₹)?
- 32.Divide ₹406 between Karan and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
- 33.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
- 34.Divide ₹105 between Aditya and Manav in the ratio 3 : 4. How much does Aditya get (in ₹)?
- 35.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
- 36.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 37.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
- 38.3 : 6 = 21 : ?
- 39.Divide ₹87 between Sneha and Rohan in the ratio 1 : 2. How much does Sneha get (in ₹)?
- 40.Divide ₹495 between Arjun and Kabir in the ratio 8 : 1. How much does Arjun get (in ₹)?
Answer key
- 66
- 37
- 54
- 39
- 105
- 198
- 112
- 144
- 36
- 50
- 18
- 108
- 18
- 208
- 16
- 240
- 100
- 25
- 20
- 48
- 108
- 31
- 40
- 44
- 18
- 20
- 495
- 18
- 88
- 60
- 35
- 348
- 30
- 45
- 15
- 36
- 28
- 42
- 29
- 440
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