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 ₹216 between Kabir and Meera in the ratio 5 : 3. How much does Meera get (in ₹)?
- 2.3 : 6 = 21 : ?
- 3.Divide ₹138 between Aditya and Farhan in the ratio 5 : 1. How much does Farhan get (in ₹)?
- 4.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
- 5.Divide ₹210 between Sneha and Pooja in the ratio 4 : 3. How much does Sneha get (in ₹)?
- 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 7.6 : 2 = 36 : ?
- 8.Divide ₹150 between Aditya and Priya in the ratio 2 : 3. How much does Priya get (in ₹)?
- 9.Divide ₹231 between Zoya and Aditya in the ratio 2 : 5. How much does Aditya get (in ₹)?
- 10.Divide ₹216 between Diya and Aditya in the ratio 1 : 7. How much does Diya get (in ₹)?
- 11.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 12.Divide ₹104 between Isha and Manav in the ratio 1 : 7. How much does Isha get (in ₹)?
- 13.Divide ₹221 between Vivaan and Zoya in the ratio 9 : 4. How much does Vivaan get (in ₹)?
- 14.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
- 15.Divide ₹240 between Arjun and Ishaan in the ratio 3 : 5. How much does Arjun get (in ₹)?
- 16.5 : 13 = 10 : ?
- 17.Divide ₹225 between Farhan and Manav in the ratio 2 : 7. How much does Farhan get (in ₹)?
- 18.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 19.12 : 14 = 108 : ?
- 20.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 21.Divide ₹245 between Rohan and Saanvi in the ratio 1 : 4. How much does Saanvi get (in ₹)?
- 22.Divide ₹253 between Vivaan and Rohan in the ratio 3 : 8. How much does Rohan get (in ₹)?
- 23.Divide ₹192 between Ananya and Arjun in the ratio 7 : 5. How much does Ananya get (in ₹)?
- 24.Divide ₹357 between Aditya and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
- 25.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
- 26.Divide ₹522 between Rahul and Saanvi in the ratio 5 : 4. How much does Rahul get (in ₹)?
- 27.Divide ₹225 between Rohan and Meera in the ratio 7 : 8. How much does Rohan get (in ₹)?
- 28.Divide ₹731 between Pooja and Diya in the ratio 8 : 9. How much does Pooja get (in ₹)?
- 29.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
- 30.3 : 5 = 15 : ?
- 31.Divide ₹110 between Priya and Ananya in the ratio 9 : 2. How much does Priya get (in ₹)?
- 32.Divide ₹136 between Diya and Kabir in the ratio 3 : 1. How much does Diya get (in ₹)?
- 33.2 : 5 = 8 : ?
- 34.Divide ₹104 between Rahul and Rohan in the ratio 7 : 1. How much does Rahul get (in ₹)?
- 35.Divide ₹392 between Farhan and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
- 36.Divide ₹374 between Meera and Pooja in the ratio 4 : 7. How much does Meera get (in ₹)?
- 37.Divide ₹480 between Vivaan and Aarav in the ratio 7 : 1. How much does Vivaan get (in ₹)?
- 38.Divide ₹65 between Pooja and Priya in the ratio 2 : 3. How much does Pooja get (in ₹)?
- 39.7 : 6 = 21 : ?
- 40.Divide ₹539 between Zoya and Nisha in the ratio 7 : 4. How much does Zoya get (in ₹)?
Answer key
- 81
- 42
- 23
- 40
- 120
- 28
- 12
- 90
- 165
- 27
- 20
- 13
- 153
- 54
- 90
- 26
- 50
- 128
- 126
- 18
- 196
- 184
- 112
- 153
- 8
- 290
- 105
- 344
- 63
- 25
- 90
- 102
- 20
- 91
- 343
- 136
- 420
- 26
- 18
- 343
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