Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 848 · 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 pens cost ₹21, how much do 4 pens cost? (a) ₹35 (b) ₹84 (c) ₹28 (d) ₹22
2. 2.₹147 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹21 (b) ₹127 (c) ₹126 (d) ₹147
3. 3.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 13 days (c) 14 days (d) 9 days
4. 4.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 7 days (d) 4 days
5. 5.₹216 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹18 (b) ₹108 (c) ₹126 (d) ₹90
6. 6.If 4 pens cost ₹16, how much do 2 pens cost? (a) ₹14 (b) ₹32 (c) ₹12 (d) ₹8
7. 7.₹154 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹11 (b) ₹99 (c) ₹77 (d) ₹55
8. 8.₹96 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹48 (b) ₹80 (c) ₹96 (d) ₹16
9. 9.If 5 pens cost ₹70, how much do 2 pens cost? (a) ₹67 (b) ₹140 (c) ₹28 (d) ₹42
10. 10.₹312 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹120 (b) ₹24 (c) ₹192 (d) ₹156
11. 11.If 5 pens cost ₹110, how much do 9 pens cost? (a) ₹114 (b) ₹220 (c) ₹990 (d) ₹198
12. 12.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 35 days (b) 11 days (c) 36 days (d) 19 days
13. 13.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 17 days (d) 5 days
14. 14.If 9 kites cost ₹81, how much do 10 kites cost? (a) ₹82 (b) ₹99 (c) ₹90 (d) ₹810
15. 15.₹54 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹30 (b) ₹27 (c) ₹6 (d) ₹24
16. 16.6 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 1 day (d) 7 days
17. 17.If 6 kites cost ₹144, how much do 8 kites cost? (a) ₹1152 (b) ₹216 (c) ₹192 (d) ₹146
18. 18.If 8 mangoes cost ₹152, how much do 4 mangoes cost? (a) ₹148 (b) ₹608 (c) ₹95 (d) ₹76
19. 19.If 2 mangoes cost ₹30, how much do 8 mangoes cost? (a) ₹36 (b) ₹120 (c) ₹135 (d) ₹240
20. 20.₹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
21. 21.9 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 18 days (b) 19 days (c) 13 days (d) 3 days
22. 22.₹440 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹160 (b) ₹40 (c) ₹220 (d) ₹280
23. 23.If 2 pens cost ₹18, how much do 3 pens cost? (a) ₹36 (b) ₹27 (c) ₹19 (d) ₹54
24. 24.₹287 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹41 (b) ₹247 (c) ₹287 (d) ₹246
25. 25.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 49 days (c) 9 days (d) 4 days
26. 26.₹490 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹441 (b) ₹490 (c) ₹49 (d) ₹245
27. 27.If 6 mangoes cost ₹108, how much do 4 mangoes cost? (a) ₹72 (b) ₹432 (c) ₹106 (d) ₹90
28. 28.₹442 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹221 (b) ₹272 (c) ₹170 (d) ₹34
29. 29.5 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 9 days (d) 3 days
30. 30.6 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 31 days (b) 30 days (c) 12 days (d) 18 days
31. 31.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 48 days (b) 4 days (c) 21 days (d) 3 days
32. 32.If 4 kites cost ₹28, how much do 6 kites cost? (a) ₹30 (b) ₹42 (c) ₹49 (d) ₹168
33. 33.If 2 pens cost ₹10, how much do 6 pens cost? (a) ₹60 (b) ₹30 (c) ₹35 (d) ₹14
34. 34.8 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 9 days (d) 10 days
35. 35.If 7 pens cost ₹63, how much do 9 pens cost? (a) ₹567 (b) ₹65 (c) ₹90 (d) ₹81
36. 36.₹35 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹5 (b) ₹25 (c) ₹15 (d) ₹20
37. 37.If 4 notebooks cost ₹44, how much do 10 notebooks cost? (a) ₹121 (b) ₹50 (c) ₹110 (d) ₹440
38. 38.If 7 mangoes cost ₹105, how much do 4 mangoes cost? (a) ₹420 (b) ₹102 (c) ₹75 (d) ₹60
39. 39.If 6 mangoes cost ₹18, how much do 11 mangoes cost? (a) ₹33 (b) ₹36 (c) ₹198 (d) ₹23
40. 40.If 2 kites cost ₹14, how much do 7 kites cost? (a) ₹49 (b) ₹98 (c) ₹56 (d) ₹19

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