Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 446 · 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.₹504 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹252 (b) ₹36 (c) ₹324 (d) ₹180
2. 2.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 6 days (d) 18 days
3. 3.9 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 46 days (b) 17 days (c) 45 days (d) 3 days
4. 4.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 3 days (c) 4 days (d) 8 days
5. 5.If 9 mangoes cost ₹198, how much do 10 mangoes cost? (a) ₹1980 (b) ₹199 (c) ₹242 (d) ₹220
6. 6.6 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 2 days (d) 6 days
7. 7.If 3 kites cost ₹69, how much do 5 kites cost? (a) ₹115 (b) ₹345 (c) ₹71 (d) ₹138
8. 8.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 25 days (c) 17 days (d) 13 days
9. 9.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 21 days (c) 3 days (d) 48 days
10. 10.If 3 mangoes cost ₹9, how much do 2 mangoes cost? (a) ₹6 (b) ₹18 (c) ₹8 (d) ₹9
11. 11.₹266 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹38 (b) ₹133 (c) ₹228 (d) ₹266
12. 12.₹266 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹190 (b) ₹76 (c) ₹38 (d) ₹133
13. 13.If 5 kites cost ₹120, how much do 7 kites cost? (a) ₹840 (b) ₹122 (c) ₹192 (d) ₹168
14. 14.If 2 mangoes cost ₹38, how much do 3 mangoes cost? (a) ₹39 (b) ₹76 (c) ₹57 (d) ₹114
15. 15.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 29 days (b) 28 days (c) 1 day (d) 13 days
16. 16.₹517 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹94 (b) ₹423 (c) ₹470 (d) ₹47
17. 17.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 21 days (c) 1 day (d) 22 days
18. 18.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 5 days (d) 8 days
19. 19.If 4 mangoes cost ₹24, how much do 12 mangoes cost? (a) ₹72 (b) ₹78 (c) ₹32 (d) ₹288
20. 20.4 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 31 days (b) 17 days (c) 30 days (d) 13 days
21. 21.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 18 days (b) 3 days (c) 4 days (d) 5 days
22. 22.₹368 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹46 (b) ₹368 (c) ₹184 (d) ₹322
23. 23.₹385 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹315 (b) ₹35 (c) ₹280 (d) ₹105
24. 24.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 21 days (d) 45 days
25. 25.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 16 days (c) 11 days (d) 15 days
26. 26.If 9 pens cost ₹153, how much do 11 pens cost? (a) ₹1683 (b) ₹204 (c) ₹155 (d) ₹187
27. 27.₹242 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹121 (b) ₹176 (c) ₹22 (d) ₹66
28. 28.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 6 days (d) 3 days
29. 29.₹105 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹35 (b) ₹105 (c) ₹71 (d) ₹70
30. 30.If 4 kites cost ₹44, how much do 7 kites cost? (a) ₹77 (b) ₹47 (c) ₹308 (d) ₹88
31. 31.If 6 kites cost ₹42, how much do 12 kites cost? (a) ₹91 (b) ₹504 (c) ₹84 (d) ₹48
32. 32.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 3 days (d) 11 days
33. 33.If 8 pens cost ₹80, how much do 9 pens cost? (a) ₹81 (b) ₹720 (c) ₹100 (d) ₹90
34. 34.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 32 days (b) 14 days (c) 33 days (d) 2 days
35. 35.₹234 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹117 (b) ₹162 (c) ₹18 (d) ₹72
36. 36.If 6 pens cost ₹72, how much do 9 pens cost? (a) ₹75 (b) ₹648 (c) ₹120 (d) ₹108
37. 37.If 3 pens cost ₹75, how much do 5 pens cost? (a) ₹77 (b) ₹125 (c) ₹150 (d) ₹375
38. 38.₹484 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹242 (b) ₹220 (c) ₹44 (d) ₹264
39. 39.If 6 mangoes cost ₹102, how much do 2 mangoes cost? (a) ₹98 (b) ₹34 (c) ₹204 (d) ₹51
40. 40.If 7 mangoes cost ₹21, how much do 6 mangoes cost? (a) ₹20 (b) ₹18 (c) ₹126 (d) ₹21

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