Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 596 · 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.₹533 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹369 (b) ₹41 (c) ₹205 (d) ₹328
2. 2.9 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 37 days (b) 15 days (c) 36 days (d) 1 day
3. 3.8 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 16 days (b) 17 days (c) 7 days (d) 13 days
4. 4.If 3 pens cost ₹51, how much do 2 pens cost? (a) ₹50 (b) ₹102 (c) ₹51 (d) ₹34
5. 5.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 13 days (c) 9 days (d) 11 days
6. 6.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹115 (b) ₹138 (c) ₹161 (d) ₹23
7. 7.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 5 days (d) 6 days
8. 8.If 9 kites cost ₹45, how much do 3 kites cost? (a) ₹39 (b) ₹15 (c) ₹20 (d) ₹135
9. 9.6 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 6 days (b) 9 days (c) 15 days (d) 24 days
10. 10.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 2 days (d) 4 days
11. 11.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 8 days (d) 12 days
12. 12.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 4 days (d) 7 days
13. 13.₹400 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹40 (b) ₹120 (c) ₹280 (d) ₹200
14. 14.If 7 mangoes cost ₹35, how much do 6 mangoes cost? (a) ₹34 (b) ₹35 (c) ₹30 (d) ₹210
15. 15.₹495 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹225 (b) ₹315 (c) ₹270 (d) ₹45
16. 16.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 44 days (b) 5 days (c) 45 days (d) 17 days
17. 17.₹120 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹15 (b) ₹45 (c) ₹75 (d) ₹60
18. 18.₹102 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹68 (b) ₹102 (c) ₹51 (d) ₹34
19. 19.₹247 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹95 (b) ₹171 (c) ₹19 (d) ₹152
20. 20.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 1 day (c) 17 days (d) 11 days
21. 21.₹168 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹105 (b) ₹21 (c) ₹63 (d) ₹84
22. 22.If 4 kites cost ₹76, how much do 6 kites cost? (a) ₹133 (b) ₹114 (c) ₹78 (d) ₹456
23. 23.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 12 days (d) 2 days
24. 24.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 15 days (d) 8 days
25. 25.If 4 notebooks cost ₹56, how much do 7 notebooks cost? (a) ₹59 (b) ₹112 (c) ₹392 (d) ₹98
26. 26.₹180 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹90 (b) ₹180 (c) ₹36 (d) ₹144
27. 27.₹441 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹343 (b) ₹392 (c) ₹98 (d) ₹49
28. 28.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 9 days (c) 13 days (d) 17 days
29. 29.₹220 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹110 (b) ₹44 (c) ₹88 (d) ₹132
30. 30.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 1 day (c) 8 days (d) 2 days
31. 31.4 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 14 days (c) 16 days (d) 21 days
32. 32.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 1 day (d) 8 days
33. 33.₹195 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹120 (b) ₹135 (c) ₹15 (d) ₹75
34. 34.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 2 days (b) 12 days (c) 18 days (d) 3 days
35. 35.₹403 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹155 (b) ₹31 (c) ₹279 (d) ₹248
36. 36.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 6 days
37. 37.If 7 pens cost ₹77, how much do 6 pens cost? (a) ₹66 (b) ₹462 (c) ₹77 (d) ₹76
38. 38.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 64 days (c) 63 days (d) 7 days
39. 39.₹330 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹270 (b) ₹165 (c) ₹30 (d) ₹60
40. 40.If 3 mangoes cost ₹24, how much do 4 mangoes cost? (a) ₹32 (b) ₹96 (c) ₹40 (d) ₹25

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