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 ₹276 between Kabir and Saanvi in the ratio 1 : 5. How much does Kabir get (in ₹)?
- 2.Divide ₹352 between Farhan and Aarav in the ratio 2 : 9. How much does Farhan get (in ₹)?
- 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 4.3 : 7 = 27 : ?
- 5.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 7.3 : 14 = 21 : ?
- 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 10.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 11.Divide ₹330 between Priya and Pooja in the ratio 1 : 5. How much does Priya get (in ₹)?
- 12.Divide ₹100 between Rahul and Nisha in the ratio 1 : 4. How much does Rahul get (in ₹)?
- 13.Divide ₹280 between Zoya and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
- 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 15.Divide ₹424 between Aarav and Diya in the ratio 7 : 1. How much does Aarav get (in ₹)?
- 16.Divide ₹720 between Dev and Diya in the ratio 8 : 7. How much does Diya get (in ₹)?
- 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 18.8 : 10 = 72 : ?
- 19.10 : 15 = 50 : ?
- 20.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
- 21.Divide ₹986 between Tara and Kabir in the ratio 9 : 8. How much does Kabir get (in ₹)?
- 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 24.3 : 10 = 24 : ?
- 25.Divide ₹260 between Isha and Nisha in the ratio 9 : 1. How much does Isha get (in ₹)?
- 26.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
- 27.Divide ₹110 between Nisha and Saanvi in the ratio 2 : 9. How much does Nisha get (in ₹)?
- 28.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 29.Divide ₹207 between Rohan and Ananya in the ratio 4 : 5. How much does Ananya get (in ₹)?
- 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 31.3 : 4 = 18 : ?
- 32.Divide ₹638 between Tara and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
- 33.Divide ₹260 between Farhan and Pooja in the ratio 4 : 9. How much does Farhan get (in ₹)?
- 34.Divide ₹352 between Kabir and Ananya in the ratio 7 : 4. How much does Kabir get (in ₹)?
- 35.10 : 3 = 80 : ?
- 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 37.Divide ₹99 between Diya and Arjun in the ratio 4 : 7. How much does Arjun get (in ₹)?
- 38.Divide ₹688 between Pooja and Aarav in the ratio 7 : 9. How much does Pooja get (in ₹)?
- 39.2 : 10 = 4 : ?
- 40.2 : 4 = 8 : ?
Answer key
- 46
- 64
- 48
- 63
- 36
- 75
- 98
- 144
- 45
- 28
- 55
- 20
- 245
- 32
- 371
- 336
- 8
- 90
- 75
- 36
- 464
- 54
- 100
- 80
- 234
- 63
- 20
- 27
- 115
- 16
- 24
- 522
- 80
- 224
- 24
- 64
- 63
- 301
- 20
- 16
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