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 ₹153 between Nisha and Dev in the ratio 5 : 4. How much does Nisha get (in ₹)?
- 2.9 : 12 = 72 : ?
- 3.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
- 4.5 : 11 = 10 : ?
- 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 8.Divide ₹110 between Saanvi and Kavya in the ratio 7 : 3. How much does Saanvi get (in ₹)?
- 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 11.Divide ₹180 between Ananya and Karan in the ratio 5 : 4. How much does Karan get (in ₹)?
- 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 13.Divide ₹638 between Zoya and Dev in the ratio 6 : 5. How much does Zoya get (in ₹)?
- 14.12 : 9 = 60 : ?
- 15.Divide ₹374 between Rohan and Manav in the ratio 9 : 2. How much does Rohan get (in ₹)?
- 16.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
- 17.Divide ₹297 between Isha and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
- 18.Divide ₹616 between Farhan and Diya in the ratio 9 : 5. How much does Farhan get (in ₹)?
- 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 20.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
- 21.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
- 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 23.Divide ₹360 between Isha and Rahul in the ratio 5 : 3. How much does Rahul get (in ₹)?
- 24.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
- 25.12 : 13 = 84 : ?
- 26.11 : 13 = 55 : ?
- 27.Divide ₹279 between Ishaan and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
- 28.6 : 13 = 54 : ?
- 29.Divide ₹364 between Vivaan and Diya in the ratio 9 : 5. How much does Vivaan get (in ₹)?
- 30.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
- 31.Divide ₹768 between Vivaan and Nisha in the ratio 9 : 7. How much does Vivaan get (in ₹)?
- 32.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
- 33.12 : 3 = 96 : ?
- 34.Divide ₹480 between Kavya and Zoya in the ratio 5 : 3. How much does Kavya get (in ₹)?
- 35.8 : 6 = 24 : ?
- 36.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
- 37.Divide ₹539 between Karan and Ishaan in the ratio 8 : 3. How much does Ishaan get (in ₹)?
- 38.Divide ₹477 between Isha and Rohan in the ratio 2 : 7. How much does Rohan get (in ₹)?
- 39.Divide ₹182 between Tara and Meera in the ratio 5 : 2. How much does Tara get (in ₹)?
- 40.Divide ₹88 between Kabir and Ishaan in the ratio 9 : 2. How much does Kabir get (in ₹)?
Answer key
- 85
- 96
- 56
- 22
- 54
- 72
- 63
- 77
- 100
- 24
- 80
- 175
- 348
- 45
- 306
- 20
- 231
- 396
- 36
- 27
- 9
- 16
- 135
- 14
- 91
- 65
- 124
- 117
- 234
- 12
- 432
- 21
- 24
- 300
- 18
- 18
- 147
- 371
- 130
- 72
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