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 ₹540 between Nisha and Manav in the ratio 1 : 8. How much does Nisha get (in ₹)?
- 2.Divide ₹132 between Aarav and Diya in the ratio 2 : 1. How much does Aarav get (in ₹)?
- 3.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 4.Divide ₹315 between Aarav and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
- 5.3 : 11 = 27 : ?
- 6.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
- 7.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
- 8.3 : 12 = 27 : ?
- 9.Divide ₹88 between Diya and Ishaan in the ratio 4 : 7. How much does Diya get (in ₹)?
- 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 11.Divide ₹217 between Kabir and Manav in the ratio 1 : 6. How much does Kabir get (in ₹)?
- 12.2 : 3 = 8 : ?
- 13.7 : 2 = 49 : ?
- 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 15.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 16.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
- 17.Divide ₹598 between Vivaan and Ananya in the ratio 7 : 6. How much does Vivaan get (in ₹)?
- 18.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
- 19.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
- 20.Divide ₹80 between Rohan and Meera in the ratio 2 : 3. How much does Rohan get (in ₹)?
- 21.Divide ₹196 between Tara and Ananya in the ratio 2 : 5. How much does Ananya get (in ₹)?
- 22.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
- 23.8 : 13 = 32 : ?
- 24.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 25.10 : 5 = 80 : ?
- 26.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
- 27.5 : 6 = 45 : ?
- 28.Divide ₹273 between Rahul and Meera in the ratio 7 : 6. How much does Meera get (in ₹)?
- 29.3 : 11 = 18 : ?
- 30.7 : 10 = 21 : ?
- 31.11 : 8 = 33 : ?
- 32.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 33.Divide ₹308 between Ananya and Diya in the ratio 2 : 9. How much does Diya get (in ₹)?
- 34.Divide ₹290 between Ananya and Saanvi in the ratio 4 : 1. How much does Ananya get (in ₹)?
- 35.Divide ₹468 between Tara and Meera in the ratio 7 : 5. How much does Meera get (in ₹)?
- 36.Divide ₹320 between Farhan and Pooja in the ratio 1 : 9. How much does Pooja get (in ₹)?
- 37.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 38.7 : 5 = 63 : ?
- 39.Divide ₹390 between Manav and Sneha in the ratio 4 : 9. How much does Sneha get (in ₹)?
- 40.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
Answer key
- 60
- 88
- 16
- 35
- 99
- 10
- 10
- 108
- 32
- 20
- 31
- 12
- 14
- 45
- 63
- 24
- 322
- 54
- 63
- 32
- 140
- 50
- 52
- 125
- 40
- 2
- 54
- 126
- 66
- 30
- 24
- 27
- 252
- 232
- 195
- 288
- 28
- 45
- 270
- 20
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