Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 233 · 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 5 mangoes cost ₹95, how much do 10 mangoes cost? (a) ₹950 (b) ₹190 (c) ₹100 (d) ₹209
2. 2.₹150 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹75 (b) ₹150 (c) ₹50 (d) ₹100
3. 3.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 7 days (d) 11 days
4. 4.If 6 kites cost ₹18, how much do 9 kites cost? (a) ₹21 (b) ₹162 (c) ₹27 (d) ₹30
5. 5.₹209 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹19 (b) ₹114 (c) ₹133 (d) ₹95
6. 6.₹81 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹81 (b) ₹73 (c) ₹9 (d) ₹72
7. 7.5 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 21 days (b) 20 days (c) 10 days (d) 14 days
8. 8.If 8 kites cost ₹160, how much do 12 kites cost? (a) ₹164 (b) ₹260 (c) ₹240 (d) ₹1920
9. 9.If 6 mangoes cost ₹150, how much do 3 mangoes cost? (a) ₹100 (b) ₹450 (c) ₹147 (d) ₹75
10. 10.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 11 days (c) 8 days (d) 18 days
11. 11.₹75 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹51 (b) ₹75 (c) ₹25 (d) ₹50
12. 12.₹220 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹198 (b) ₹22 (c) ₹220 (d) ₹110
13. 13.If 7 kites cost ₹63, how much do 5 kites cost? (a) ₹54 (b) ₹315 (c) ₹45 (d) ₹61
14. 14.If 3 notebooks cost ₹51, how much do 11 notebooks cost? (a) ₹204 (b) ₹59 (c) ₹187 (d) ₹561
15. 15.₹144 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹72 (b) ₹90 (c) ₹54 (d) ₹18
16. 16.₹84 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹49 (b) ₹7 (c) ₹42 (d) ₹35
17. 17.₹99 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹81 (b) ₹18 (c) ₹90 (d) ₹9
18. 18.3 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 24 days (b) 9 days (c) 15 days (d) 6 days
19. 19.If 6 kites cost ₹84, how much do 7 kites cost? (a) ₹85 (b) ₹588 (c) ₹112 (d) ₹98
20. 20.₹468 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹180 (b) ₹234 (c) ₹36 (d) ₹288
21. 21.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 26 days (d) 27 days
22. 22.If 6 mangoes cost ₹120, how much do 9 mangoes cost? (a) ₹200 (b) ₹180 (c) ₹123 (d) ₹1080
23. 23.If 2 mangoes cost ₹12, how much do 3 mangoes cost? (a) ₹18 (b) ₹36 (c) ₹24 (d) ₹13
24. 24.If 9 notebooks cost ₹117, how much do 2 notebooks cost? (a) ₹234 (b) ₹26 (c) ₹39 (d) ₹110
25. 25.If 2 kites cost ₹38, how much do 4 kites cost? (a) ₹152 (b) ₹76 (c) ₹95 (d) ₹40
26. 26.If 7 mangoes cost ₹91, how much do 9 mangoes cost? (a) ₹819 (b) ₹117 (c) ₹130 (d) ₹93
27. 27.₹250 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹125 (b) ₹200 (c) ₹50 (d) ₹250
28. 28.₹341 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹31 (b) ₹248 (c) ₹279 (d) ₹93
29. 29.₹559 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹387 (b) ₹172 (c) ₹430 (d) ₹43
30. 30.₹170 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹68 (b) ₹102 (c) ₹85 (d) ₹34
31. 31.If 2 pens cost ₹32, how much do 11 pens cost? (a) ₹352 (b) ₹41 (c) ₹176 (d) ₹192
32. 32.If 5 kites cost ₹90, how much do 8 kites cost? (a) ₹144 (b) ₹162 (c) ₹720 (d) ₹93
33. 33.If 4 mangoes cost ₹28, how much do 2 mangoes cost? (a) ₹21 (b) ₹26 (c) ₹56 (d) ₹14
34. 34.If 6 pens cost ₹36, how much do 5 pens cost? (a) ₹180 (b) ₹35 (c) ₹36 (d) ₹30
35. 35.If 2 mangoes cost ₹20, how much do 4 mangoes cost? (a) ₹40 (b) ₹80 (c) ₹22 (d) ₹50
36. 36.If 2 kites cost ₹8, how much do 4 kites cost? (a) ₹32 (b) ₹10 (c) ₹20 (d) ₹16
37. 37.₹220 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹180 (b) ₹110 (c) ₹40 (d) ₹20
38. 38.If 8 notebooks cost ₹176, how much do 3 notebooks cost? (a) ₹88 (b) ₹528 (c) ₹66 (d) ₹171
39. 39.9 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 11 days (b) 6 days (c) 5 days (d) 7 days
40. 40.If 4 notebooks cost ₹28, how much do 8 notebooks cost? (a) ₹224 (b) ₹63 (c) ₹32 (d) ₹56

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