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 ₹416 between Vivaan and Diya in the ratio 8 : 5. How much does Vivaan get (in ₹)?
- 2.5 : 2 = 20 : ?
- 3.Divide ₹484 between Diya and Aarav in the ratio 2 : 9. How much does Diya get (in ₹)?
- 4.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 5.Divide ₹91 between Rohan and Sneha in the ratio 2 : 5. How much does Sneha get (in ₹)?
- 6.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 7.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
- 8.Divide ₹430 between Priya and Saanvi in the ratio 9 : 1. How much does Saanvi get (in ₹)?
- 9.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 10.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 11.3 : 5 = 27 : ?
- 12.Divide ₹92 between Vivaan and Arjun in the ratio 1 : 3. How much does Vivaan get (in ₹)?
- 13.Divide ₹133 between Priya and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
- 14.6 : 5 = 18 : ?
- 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 16.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 17.Divide ₹304 between Saanvi and Kabir in the ratio 1 : 7. How much does Saanvi get (in ₹)?
- 18.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
- 19.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
- 20.12 : 7 = 60 : ?
- 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 22.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
- 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 24.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
- 25.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
- 26.10 : 4 = 50 : ?
- 27.Divide ₹576 between Kabir and Isha in the ratio 5 : 7. How much does Isha get (in ₹)?
- 28.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
- 29.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
- 30.Divide ₹510 between Pooja and Aarav in the ratio 7 : 8. How much does Pooja get (in ₹)?
- 31.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
- 32.Divide ₹234 between Kabir and Arjun in the ratio 5 : 1. How much does Arjun get (in ₹)?
- 33.Divide ₹55 between Vivaan and Rohan in the ratio 6 : 5. How much does Rohan get (in ₹)?
- 34.10 : 3 = 60 : ?
- 35.12 : 15 = 72 : ?
- 36.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 37.2 : 12 = 8 : ?
- 38.5 : 13 = 45 : ?
- 39.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 40.Divide ₹180 between Vivaan and Ananya in the ratio 1 : 2. How much does Vivaan get (in ₹)?
Answer key
- 256
- 8
- 88
- 112
- 65
- 64
- 7
- 43
- 36
- 125
- 45
- 23
- 114
- 15
- 8
- 128
- 38
- 20
- 4
- 35
- 63
- 16
- 225
- 18
- 35
- 20
- 336
- 45
- 6
- 238
- 64
- 39
- 25
- 18
- 90
- 80
- 48
- 117
- 175
- 60
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude