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).
NameDateTime takenScore ___ / 40
- 1.Divide ₹408 between Nisha and Kabir in the ratio 7 : 1. How much does Nisha get (in ₹)?
- 2.Divide ₹208 between Kavya and Kabir in the ratio 9 : 7. How much does Kabir get (in ₹)?
- 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 4.Divide ₹91 between Sneha and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
- 5.5 : 8 = 10 : ?
- 6.Divide ₹72 between Ishaan and Diya in the ratio 2 : 1. How much does Ishaan get (in ₹)?
- 7.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
- 8.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 9.9 : 4 = 72 : ?
- 10.11 : 6 = 33 : ?
- 11.9 : 2 = 45 : ?
- 12.Divide ₹451 between Arjun and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
- 13.7 : 13 = 14 : ?
- 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 15.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 16.Divide ₹48 between Rohan and Kavya in the ratio 1 : 3. How much does Kavya get (in ₹)?
- 17.Divide ₹708 between Priya and Saanvi in the ratio 5 : 7. How much does Saanvi get (in ₹)?
- 18.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
- 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 20.7 : 10 = 21 : ?
- 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 22.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
- 23.5 : 3 = 20 : ?
- 24.Divide ₹481 between Arjun and Ishaan in the ratio 7 : 6. How much does Arjun get (in ₹)?
- 25.9 : 13 = 18 : ?
- 26.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
- 27.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
- 28.Divide ₹98 between Rahul and Arjun in the ratio 2 : 5. How much does Rahul get (in ₹)?
- 29.Divide ₹308 between Isha and Tara in the ratio 6 : 1. How much does Isha get (in ₹)?
- 30.Divide ₹65 between Ishaan and Rahul in the ratio 9 : 4. How much does Ishaan get (in ₹)?
- 31.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
- 32.Divide ₹342 between Karan and Aditya in the ratio 5 : 1. How much does Karan get (in ₹)?
- 33.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
- 34.8 : 4 = 64 : ?
- 35.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 36.Divide ₹117 between Aditya and Karan in the ratio 5 : 8. How much does Aditya get (in ₹)?
- 37.3 : 10 = 24 : ?
- 38.Divide ₹660 between Saanvi and Karan in the ratio 8 : 3. How much does Karan get (in ₹)?
- 39.5 : 9 = 35 : ?
- 40.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
Answer key
- 357
- 91
- 8
- 65
- 16
- 48
- 54
- 72
- 32
- 18
- 10
- 369
- 26
- 64
- 125
- 36
- 413
- 70
- 112
- 30
- 32
- 7
- 12
- 259
- 26
- 10
- 56
- 28
- 264
- 45
- 12
- 285
- 2
- 32
- 128
- 45
- 80
- 180
- 63
- 40
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude