Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 994 · 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 6 kites cost ₹126, how much do 2 kites cost? (a) ₹42 (b) ₹63 (c) ₹252 (d) ₹122
2. 2.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 11 days (c) 26 days (d) 15 days
3. 3.If 3 mangoes cost ₹12, how much do 4 mangoes cost? (a) ₹48 (b) ₹20 (c) ₹16 (d) ₹13
4. 4.If 9 notebooks cost ₹126, how much do 2 notebooks cost? (a) ₹42 (b) ₹252 (c) ₹28 (d) ₹119
5. 5.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 1 day (c) 6 days (d) 7 days
6. 6.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 7 days (d) 11 days
7. 7.If 4 pens cost ₹40, how much do 3 pens cost? (a) ₹40 (b) ₹30 (c) ₹39 (d) ₹120
8. 8.If 6 pens cost ₹90, how much do 7 pens cost? (a) ₹120 (b) ₹630 (c) ₹91 (d) ₹105
9. 9.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 45 days (b) 21 days (c) 9 days (d) 5 days
10. 10.6 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 9 days (c) 13 days (d) 12 days
11. 11.If 9 kites cost ₹207, how much do 3 kites cost? (a) ₹92 (b) ₹69 (c) ₹201 (d) ₹621
12. 12.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 56 days (b) 57 days (c) 8 days (d) 20 days
13. 13.If 7 notebooks cost ₹49, how much do 12 notebooks cost? (a) ₹588 (b) ₹54 (c) ₹84 (d) ₹91
14. 14.₹324 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹27 (b) ₹162 (c) ₹189 (d) ₹135
15. 15.₹40 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹35 (b) ₹20 (c) ₹40 (d) ₹5
16. 16.₹216 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹120 (b) ₹96 (c) ₹24 (d) ₹108
17. 17.₹88 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹77 (b) ₹44 (c) ₹11 (d) ₹88
18. 18.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 16 days (c) 4 days (d) 5 days
19. 19.₹286 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹156 (b) ₹26 (c) ₹130 (d) ₹143
20. 20.If 4 kites cost ₹32, how much do 5 kites cost? (a) ₹48 (b) ₹160 (c) ₹33 (d) ₹40
21. 21.If 8 notebooks cost ₹128, how much do 6 notebooks cost? (a) ₹96 (b) ₹112 (c) ₹126 (d) ₹768
22. 22.If 4 kites cost ₹92, how much do 6 kites cost? (a) ₹138 (b) ₹161 (c) ₹94 (d) ₹552
23. 23.If 9 kites cost ₹45, how much do 10 kites cost? (a) ₹46 (b) ₹55 (c) ₹50 (d) ₹450
24. 24.₹231 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹189 (b) ₹63 (c) ₹21 (d) ₹168
25. 25.₹121 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹11 (b) ₹77 (c) ₹66 (d) ₹55
26. 26.If 7 pens cost ₹98, how much do 4 pens cost? (a) ₹95 (b) ₹392 (c) ₹56 (d) ₹70
27. 27.₹126 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹81 (b) ₹9 (c) ₹45 (d) ₹63
28. 28.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 4 days (d) 5 days
29. 29.8 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 2 days (d) 9 days
30. 30.₹492 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹246 (b) ₹205 (c) ₹41 (d) ₹287
31. 31.If 4 mangoes cost ₹56, how much do 2 mangoes cost? (a) ₹54 (b) ₹42 (c) ₹28 (d) ₹112
32. 32.If 8 pens cost ₹192, how much do 10 pens cost? (a) ₹264 (b) ₹194 (c) ₹240 (d) ₹1920
33. 33.If 7 kites cost ₹168, how much do 5 kites cost? (a) ₹120 (b) ₹144 (c) ₹840 (d) ₹166
34. 34.If 4 notebooks cost ₹24, how much do 2 notebooks cost? (a) ₹22 (b) ₹48 (c) ₹12 (d) ₹18
35. 35.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 1 day (d) 9 days
36. 36.If 9 pens cost ₹144, how much do 2 pens cost? (a) ₹288 (b) ₹48 (c) ₹137 (d) ₹32
37. 37.₹301 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹172 (d) ₹129
38. 38.₹63 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹14 (b) ₹56 (c) ₹49 (d) ₹7
39. 39.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 22 days (c) 11 days (d) 1 day
40. 40.If 3 notebooks cost ₹39, how much do 11 notebooks cost? (a) ₹47 (b) ₹156 (c) ₹429 (d) ₹143

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