Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 548 · 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 7 kites cost ₹49, how much do 5 kites cost? (a) ₹245 (b) ₹42 (c) ₹47 (d) ₹35
2. 2.If 7 pens cost ₹63, how much do 2 pens cost? (a) ₹18 (b) ₹126 (c) ₹58 (d) ₹27
3. 3.₹152 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹38 (b) ₹76 (c) ₹114 (d) ₹152
4. 4.If 9 mangoes cost ₹72, how much do 7 mangoes cost? (a) ₹64 (b) ₹56 (c) ₹504 (d) ₹70
5. 5.If 5 kites cost ₹70, how much do 3 kites cost? (a) ₹68 (b) ₹56 (c) ₹42 (d) ₹210
6. 6.₹200 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹100 (b) ₹200 (c) ₹180 (d) ₹20
7. 7.₹260 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹80 (b) ₹20 (c) ₹180 (d) ₹130
8. 8.If 3 mangoes cost ₹63, how much do 2 mangoes cost? (a) ₹126 (b) ₹62 (c) ₹42 (d) ₹63
9. 9.₹119 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹85 (b) ₹102 (c) ₹17 (d) ₹34
10. 10.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 15 days (c) 14 days (d) 12 days
11. 11.If 5 notebooks cost ₹90, how much do 10 notebooks cost? (a) ₹95 (b) ₹198 (c) ₹180 (d) ₹900
12. 12.5 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 10 days (c) 14 days (d) 21 days
13. 13.If 3 pens cost ₹63, how much do 11 pens cost? (a) ₹71 (b) ₹693 (c) ₹231 (d) ₹252
14. 14.If 3 kites cost ₹75, how much do 11 kites cost? (a) ₹275 (b) ₹300 (c) ₹83 (d) ₹825
15. 15.If 9 pens cost ₹27, how much do 10 pens cost? (a) ₹270 (b) ₹30 (c) ₹28 (d) ₹33
16. 16.If 3 notebooks cost ₹39, how much do 9 notebooks cost? (a) ₹117 (b) ₹130 (c) ₹45 (d) ₹351
17. 17.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 8 days (d) 15 days
18. 18.If 9 kites cost ₹171, how much do 11 kites cost? (a) ₹228 (b) ₹173 (c) ₹1881 (d) ₹209
19. 19.If 3 notebooks cost ₹27, how much do 5 notebooks cost? (a) ₹135 (b) ₹54 (c) ₹29 (d) ₹45
20. 20.If 5 mangoes cost ₹65, how much do 6 mangoes cost? (a) ₹91 (b) ₹390 (c) ₹66 (d) ₹78
21. 21.If 8 notebooks cost ₹192, how much do 7 notebooks cost? (a) ₹191 (b) ₹168 (c) ₹1344 (d) ₹192
22. 22.If 3 pens cost ₹60, how much do 11 pens cost? (a) ₹220 (b) ₹68 (c) ₹660 (d) ₹240
23. 23.₹287 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹123 (b) ₹205 (c) ₹164 (d) ₹41
24. 24.If 9 mangoes cost ₹153, how much do 11 mangoes cost? (a) ₹1683 (b) ₹204 (c) ₹187 (d) ₹155
25. 25.If 5 mangoes cost ₹35, how much do 11 mangoes cost? (a) ₹385 (b) ₹41 (c) ₹84 (d) ₹77
26. 26.₹132 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹77 (b) ₹11 (c) ₹55 (d) ₹66
27. 27.If 5 mangoes cost ₹110, how much do 8 mangoes cost? (a) ₹198 (b) ₹880 (c) ₹176 (d) ₹113
28. 28.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 15 days (d) 7 days
29. 29.If 5 notebooks cost ₹95, how much do 6 notebooks cost? (a) ₹133 (b) ₹570 (c) ₹114 (d) ₹96
30. 30.5 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 5 days (d) 6 days
31. 31.₹75 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹60 (b) ₹61 (c) ₹75 (d) ₹15
32. 32.If 5 pens cost ₹50, how much do 2 pens cost? (a) ₹20 (b) ₹30 (c) ₹100 (d) ₹47
33. 33.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 22 days (b) 21 days (c) 15 days (d) 9 days
34. 34.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 3 days (c) 48 days (d) 6 days
35. 35.₹300 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹150 (b) ₹300 (c) ₹50 (d) ₹250
36. 36.If 6 pens cost ₹90, how much do 2 pens cost? (a) ₹45 (b) ₹30 (c) ₹180 (d) ₹86
37. 37.If 9 pens cost ₹45, how much do 7 pens cost? (a) ₹35 (b) ₹40 (c) ₹315 (d) ₹43
38. 38.If 9 notebooks cost ₹27, how much do 11 notebooks cost? (a) ₹36 (b) ₹29 (c) ₹33 (d) ₹297
39. 39.₹286 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹22 (b) ₹143 (c) ₹198 (d) ₹88
40. 40.₹264 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹264 (b) ₹231 (c) ₹33 (d) ₹132

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