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 ₹56 between Pooja and Priya in the ratio 3 : 1. How much does Pooja get (in ₹)?
- 2.9 : 13 = 63 : ?
- 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 4.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
- 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 7.Divide ₹736 between Aditya and Karan in the ratio 7 : 9. How much does Aditya get (in ₹)?
- 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 9.Divide ₹224 between Ananya and Aarav in the ratio 4 : 3. How much does Ananya get (in ₹)?
- 10.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
- 11.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 12.Divide ₹280 between Meera and Ananya in the ratio 7 : 1. How much does Meera get (in ₹)?
- 13.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 14.Divide ₹99 between Farhan and Nisha in the ratio 5 : 4. How much does Farhan get (in ₹)?
- 15.Divide ₹242 between Zoya and Meera in the ratio 7 : 4. How much does Zoya get (in ₹)?
- 16.10 : 12 = 90 : ?
- 17.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
- 18.Divide ₹175 between Pooja and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
- 19.Divide ₹186 between Rahul and Nisha in the ratio 1 : 5. How much does Nisha get (in ₹)?
- 20.Divide ₹70 between Isha and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
- 21.Divide ₹220 between Karan and Zoya in the ratio 8 : 3. How much does Zoya get (in ₹)?
- 22.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
- 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 24.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
- 25.Divide ₹598 between Ishaan and Isha in the ratio 9 : 4. How much does Ishaan get (in ₹)?
- 26.Divide ₹440 between Aditya and Ishaan in the ratio 3 : 5. How much does Aditya get (in ₹)?
- 27.Divide ₹351 between Diya and Pooja in the ratio 7 : 2. How much does Pooja get (in ₹)?
- 28.Divide ₹102 between Tara and Zoya in the ratio 1 : 5. How much does Tara get (in ₹)?
- 29.10 : 15 = 80 : ?
- 30.Divide ₹108 between Saanvi and Aditya in the ratio 2 : 7. How much does Saanvi get (in ₹)?
- 31.4 : 11 = 32 : ?
- 32.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
- 33.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 34.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
- 35.Divide ₹440 between Nisha and Tara in the ratio 7 : 4. How much does Tara get (in ₹)?
- 36.3 : 8 = 12 : ?
- 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 40.7 : 5 = 28 : ?
Answer key
- 42
- 91
- 125
- 8
- 175
- 75
- 322
- 96
- 128
- 15
- 27
- 245
- 128
- 55
- 154
- 108
- 6
- 70
- 155
- 21
- 60
- 20
- 16
- 28
- 414
- 165
- 78
- 17
- 120
- 24
- 88
- 5
- 36
- 40
- 160
- 32
- 18
- 32
- 200
- 20
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