Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 214 · 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 3 notebooks cost ₹60, how much do 2 notebooks cost? (a) ₹60 (b) ₹40 (c) ₹59 (d) ₹120
2. 2.If 3 mangoes cost ₹54, how much do 5 mangoes cost? (a) ₹56 (b) ₹270 (c) ₹108 (d) ₹90
3. 3.If 3 notebooks cost ₹9, how much do 7 notebooks cost? (a) ₹24 (b) ₹13 (c) ₹21 (d) ₹63
4. 4.₹150 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹150 (b) ₹75 (c) ₹120 (d) ₹30
5. 5.₹377 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹261 (b) ₹29 (c) ₹145 (d) ₹232
6. 6.9 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 1 day (d) 5 days
7. 7.If 5 kites cost ₹105, how much do 11 kites cost? (a) ₹111 (b) ₹1155 (c) ₹252 (d) ₹231
8. 8.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 7 days (c) 11 days (d) 3 days
9. 9.5 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 5 days (d) 7 days
10. 10.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 8 days (d) 9 days
11. 11.If 8 mangoes cost ₹24, how much do 11 mangoes cost? (a) ₹33 (b) ₹36 (c) ₹27 (d) ₹264
12. 12.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 4 days (d) 3 days
13. 13.If 5 kites cost ₹35, how much do 4 kites cost? (a) ₹34 (b) ₹140 (c) ₹28 (d) ₹35
14. 14.If 3 kites cost ₹33, how much do 9 kites cost? (a) ₹99 (b) ₹110 (c) ₹39 (d) ₹297
15. 15.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 14 days (c) 11 days (d) 15 days
16. 16.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 10 days (c) 11 days (d) 1 day
17. 17.If 8 pens cost ₹104, how much do 12 pens cost? (a) ₹156 (b) ₹108 (c) ₹169 (d) ₹1248
18. 18.If 4 pens cost ₹88, how much do 11 pens cost? (a) ₹95 (b) ₹968 (c) ₹242 (d) ₹264
19. 19.₹225 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹25 (b) ₹150 (c) ₹125 (d) ₹100
20. 20.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 11 days (c) 27 days (d) 26 days
21. 21.If 3 mangoes cost ₹39, how much do 5 mangoes cost? (a) ₹41 (b) ₹78 (c) ₹195 (d) ₹65
22. 22.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 28 days (d) 27 days
23. 23.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 4 days (c) 2 days (d) 3 days
24. 24.If 8 notebooks cost ₹112, how much do 2 notebooks cost? (a) ₹42 (b) ₹28 (c) ₹106 (d) ₹224
25. 25.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 26 days (b) 27 days (c) 17 days (d) 9 days
26. 26.₹110 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹55 (b) ₹10 (c) ₹60 (d) ₹50
27. 27.If 7 mangoes cost ₹70, how much do 11 mangoes cost? (a) ₹74 (b) ₹770 (c) ₹110 (d) ₹120
28. 28.If 4 kites cost ₹28, how much do 2 kites cost? (a) ₹26 (b) ₹21 (c) ₹14 (d) ₹56
29. 29.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 12 days (d) 10 days
30. 30.₹329 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹141 (b) ₹188 (c) ₹235 (d) ₹47
31. 31.If 9 kites cost ₹135, how much do 4 kites cost? (a) ₹60 (b) ₹75 (c) ₹130 (d) ₹540
32. 32.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 17 days (b) 21 days (c) 13 days (d) 22 days
33. 33.If 4 kites cost ₹92, how much do 12 kites cost? (a) ₹276 (b) ₹299 (c) ₹100 (d) ₹1104
34. 34.If 2 pens cost ₹10, how much do 5 pens cost? (a) ₹30 (b) ₹13 (c) ₹50 (d) ₹25
35. 35.If 7 mangoes cost ₹42, how much do 4 mangoes cost? (a) ₹24 (b) ₹39 (c) ₹168 (d) ₹30
36. 36.5 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 10 days (c) 11 days (d) 9 days
37. 37.If 9 notebooks cost ₹90, how much do 12 notebooks cost? (a) ₹130 (b) ₹1080 (c) ₹93 (d) ₹120
38. 38.If 9 kites cost ₹99, how much do 3 kites cost? (a) ₹44 (b) ₹297 (c) ₹93 (d) ₹33
39. 39.If 2 mangoes cost ₹30, how much do 9 mangoes cost? (a) ₹37 (b) ₹135 (c) ₹270 (d) ₹150
40. 40.9 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 10 days (c) 11 days (d) 13 days

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