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 ₹234 between Karan and Priya in the ratio 8 : 1. How much does Karan get (in ₹)?
- 2.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 3.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
- 4.4 : 15 = 32 : ?
- 5.5 : 6 = 20 : ?
- 6.Divide ₹539 between Rohan and Tara in the ratio 9 : 2. How much does Tara get (in ₹)?
- 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 8.Divide ₹40 between Rahul and Ananya in the ratio 7 : 1. How much does Rahul get (in ₹)?
- 9.Divide ₹175 between Rohan and Kavya in the ratio 5 : 2. How much does Kavya get (in ₹)?
- 10.8 : 2 = 48 : ?
- 11.3 : 8 = 12 : ?
- 12.Divide ₹420 between Nisha and Aditya in the ratio 8 : 7. How much does Nisha get (in ₹)?
- 13.10 : 15 = 70 : ?
- 14.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
- 15.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 16.Divide ₹154 between Dev and Zoya in the ratio 2 : 5. How much does Dev get (in ₹)?
- 17.12 : 4 = 60 : ?
- 18.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 19.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
- 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 22.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
- 23.9 : 10 = 27 : ?
- 24.Divide ₹112 between Ananya and Farhan in the ratio 4 : 3. How much does Farhan get (in ₹)?
- 25.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
- 26.6 : 4 = 48 : ?
- 27.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
- 28.Divide ₹130 between Aditya and Priya in the ratio 4 : 9. How much does Aditya get (in ₹)?
- 29.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 30.Divide ₹264 between Rahul and Diya in the ratio 7 : 1. How much does Diya get (in ₹)?
- 31.Divide ₹351 between Kavya and Karan in the ratio 2 : 7. How much does Kavya get (in ₹)?
- 32.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 33.9 : 4 = 63 : ?
- 34.Divide ₹308 between Dev and Aarav in the ratio 3 : 4. How much does Dev get (in ₹)?
- 35.Divide ₹624 between Manav and Karan in the ratio 9 : 4. How much does Manav get (in ₹)?
- 36.Divide ₹33 between Meera and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
- 37.11 : 6 = 22 : ?
- 38.5 : 3 = 10 : ?
- 39.Divide ₹120 between Saanvi and Rohan in the ratio 9 : 1. How much does Rohan get (in ₹)?
- 40.Divide ₹290 between Karan and Aditya in the ratio 9 : 1. How much does Aditya get (in ₹)?
Answer key
- 208
- 100
- 8
- 120
- 24
- 98
- 16
- 35
- 50
- 12
- 32
- 224
- 105
- 8
- 50
- 44
- 20
- 48
- 6
- 12
- 75
- 12
- 30
- 48
- 9
- 32
- 4
- 40
- 80
- 33
- 78
- 54
- 28
- 132
- 432
- 22
- 12
- 6
- 12
- 29
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