Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 824 · 40 questions

How to solve it (Go through one): Unitary: cost of one = total ÷ number; then multiply by how many you need. Ratio p : q of a total: one part = total ÷ (p + q); a share = its parts × one part. Workers and days go the opposite way: total work = workers × days; days = total work ÷ new number of workers.

1. 1.If 8 notebooks cost ₹24, how much do 11 notebooks cost? (a) ₹33 (b) ₹264 (c) ₹27 (d) ₹36
2. 2.If 3 notebooks cost ₹54, how much do 9 notebooks cost? (a) ₹60 (b) ₹486 (c) ₹180 (d) ₹162
3. 3.₹220 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹110 (b) ₹22 (c) ₹198 (d) ₹220
4. 4.If 9 notebooks cost ₹27, how much do 4 notebooks cost? (a) ₹108 (b) ₹12 (c) ₹15 (d) ₹22
5. 5.₹200 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹50 (b) ₹100 (c) ₹150 (d) ₹200
6. 6.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 39 days (c) 40 days (d) 19 days
7. 7.₹216 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹108 (b) ₹36 (c) ₹216 (d) ₹180
8. 8.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 25 days (d) 13 days
9. 9.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 5 days (c) 21 days (d) 20 days
10. 10.₹221 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹17 (b) ₹153 (c) ₹68 (d) ₹170
11. 11.₹165 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹45 (b) ₹135 (c) ₹120 (d) ₹15
12. 12.₹130 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹65 (b) ₹13 (c) ₹91 (d) ₹39
13. 13.If 9 notebooks cost ₹189, how much do 12 notebooks cost? (a) ₹273 (b) ₹252 (c) ₹192 (d) ₹2268
14. 14.If 5 mangoes cost ₹115, how much do 12 mangoes cost? (a) ₹276 (b) ₹299 (c) ₹122 (d) ₹1380
15. 15.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 28 days (c) 3 days (d) 27 days
16. 16.₹147 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹21 (b) ₹84 (c) ₹105 (d) ₹63
17. 17.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 6 days (d) 5 days
18. 18.₹242 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹22 (b) ₹110 (c) ₹132 (d) ₹121
19. 19.₹333 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹297 (b) ₹296 (c) ₹333 (d) ₹37
20. 20.If 7 notebooks cost ₹49, how much do 9 notebooks cost? (a) ₹51 (b) ₹63 (c) ₹441 (d) ₹70
21. 21.₹160 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹40 (b) ₹80 (c) ₹160 (d) ₹120
22. 22.3 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 9 days (c) 15 days (d) 16 days
23. 23.₹91 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹13 (b) ₹52 (c) ₹39 (d) ₹65
24. 24.4 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 14 days (d) 18 days
25. 25.If 2 mangoes cost ₹48, how much do 6 mangoes cost? (a) ₹144 (b) ₹288 (c) ₹52 (d) ₹168
26. 26.₹260 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹182 (b) ₹78 (c) ₹26 (d) ₹130
27. 27.If 6 kites cost ₹96, how much do 9 kites cost? (a) ₹99 (b) ₹864 (c) ₹160 (d) ₹144
28. 28.₹200 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹100 (b) ₹200 (c) ₹160 (d) ₹40
29. 29.If 8 pens cost ₹144, how much do 12 pens cost? (a) ₹216 (b) ₹148 (c) ₹1728 (d) ₹234
30. 30.If 8 pens cost ₹200, how much do 2 pens cost? (a) ₹194 (b) ₹75 (c) ₹400 (d) ₹50
31. 31.If 5 pens cost ₹40, how much do 4 pens cost? (a) ₹160 (b) ₹40 (c) ₹39 (d) ₹32
32. 32.If 9 kites cost ₹81, how much do 6 kites cost? (a) ₹54 (b) ₹78 (c) ₹486 (d) ₹63
33. 33.₹35 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹7 (b) ₹14 (c) ₹21 (d) ₹28
34. 34.₹396 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹220 (b) ₹44 (c) ₹176 (d) ₹198
35. 35.If 8 notebooks cost ₹120, how much do 11 notebooks cost? (a) ₹1320 (b) ₹165 (c) ₹180 (d) ₹123
36. 36.₹378 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹42 (b) ₹189 (c) ₹294 (d) ₹84
37. 37.If 4 kites cost ₹64, how much do 3 kites cost? (a) ₹192 (b) ₹48 (c) ₹64 (d) ₹63
38. 38.If 3 kites cost ₹36, how much do 10 kites cost? (a) ₹132 (b) ₹360 (c) ₹43 (d) ₹120
39. 39.If 9 pens cost ₹180, how much do 2 pens cost? (a) ₹360 (b) ₹60 (c) ₹173 (d) ₹40
40. 40.₹150 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹25 (b) ₹75 (c) ₹150 (d) ₹125

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad