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 ₹374 between Kavya and Sneha in the ratio 7 : 4. How much does Kavya get (in ₹)?
- 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 4.Divide ₹180 between Rohan and Rahul in the ratio 2 : 3. How much does Rohan get (in ₹)?
- 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 6.Divide ₹264 between Saanvi and Isha in the ratio 8 : 3. How much does Isha get (in ₹)?
- 7.Divide ₹288 between Meera and Tara in the ratio 9 : 7. How much does Tara get (in ₹)?
- 8.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
- 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 10.12 : 4 = 24 : ?
- 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 12.11 : 5 = 99 : ?
- 13.Divide ₹572 between Dev and Sneha in the ratio 6 : 5. How much does Sneha get (in ₹)?
- 14.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
- 15.Divide ₹121 between Arjun and Meera in the ratio 5 : 6. How much does Arjun get (in ₹)?
- 16.Divide ₹624 between Ananya and Priya in the ratio 5 : 8. How much does Priya get (in ₹)?
- 17.Divide ₹420 between Vivaan and Karan in the ratio 8 : 7. How much does Vivaan get (in ₹)?
- 18.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
- 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 20.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 21.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
- 22.8 : 5 = 32 : ?
- 23.Divide ₹112 between Aarav and Vivaan in the ratio 1 : 7. How much does Aarav get (in ₹)?
- 24.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 25.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
- 26.5 : 4 = 25 : ?
- 27.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
- 28.Divide ₹66 between Aditya and Pooja in the ratio 5 : 1. How much does Pooja get (in ₹)?
- 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 31.7 : 9 = 21 : ?
- 32.Divide ₹708 between Diya and Ananya in the ratio 7 : 5. How much does Diya get (in ₹)?
- 33.Divide ₹96 between Pooja and Rahul in the ratio 1 : 5. How much does Pooja get (in ₹)?
- 34.Divide ₹50 between Ananya and Kabir in the ratio 2 : 3. How much does Ananya get (in ₹)?
- 35.Divide ₹390 between Tara and Kavya in the ratio 3 : 7. How much does Tara get (in ₹)?
- 36.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
- 37.9 : 6 = 63 : ?
- 38.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 39.Divide ₹598 between Rohan and Meera in the ratio 7 : 6. How much does Meera get (in ₹)?
- 40.Divide ₹70 between Sneha and Priya in the ratio 6 : 1. How much does Sneha get (in ₹)?
Answer key
- 238
- 32
- 28
- 72
- 63
- 72
- 126
- 20
- 12
- 8
- 16
- 45
- 260
- 5
- 55
- 384
- 224
- 21
- 36
- 27
- 60
- 20
- 14
- 80
- 24
- 20
- 81
- 11
- 54
- 20
- 27
- 413
- 16
- 20
- 117
- 14
- 42
- 81
- 276
- 60
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude