Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 781 · 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.₹132 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹55 (b) ₹66 (c) ₹11 (d) ₹77
2. 2.₹77 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹55 (b) ₹11 (c) ₹66 (d) ₹22
3. 3.If 9 mangoes cost ₹81, how much do 3 mangoes cost? (a) ₹27 (b) ₹75 (c) ₹243 (d) ₹36
4. 4.₹423 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹376 (b) ₹47 (c) ₹423 (d) ₹377
5. 5.If 5 mangoes cost ₹15, how much do 12 mangoes cost? (a) ₹180 (b) ₹22 (c) ₹36 (d) ₹39
6. 6.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 15 days
7. 7.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 48 days (c) 21 days (d) 4 days
8. 8.If 6 notebooks cost ₹150, how much do 8 notebooks cost? (a) ₹152 (b) ₹200 (c) ₹1200 (d) ₹225
9. 9.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹45 (b) ₹20 (c) ₹10 (d) ₹70
10. 10.If 9 pens cost ₹198, how much do 2 pens cost? (a) ₹396 (b) ₹66 (c) ₹44 (d) ₹191
11. 11.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹48 (b) ₹60 (c) ₹12 (d) ₹54
12. 12.₹99 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹9 (b) ₹63 (c) ₹54 (d) ₹45
13. 13.If 5 pens cost ₹80, how much do 9 pens cost? (a) ₹720 (b) ₹160 (c) ₹84 (d) ₹144
14. 14.If 5 mangoes cost ₹15, how much do 6 mangoes cost? (a) ₹90 (b) ₹21 (c) ₹16 (d) ₹18
15. 15.If 5 mangoes cost ₹55, how much do 12 mangoes cost? (a) ₹62 (b) ₹660 (c) ₹143 (d) ₹132
16. 16.₹155 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹62 (b) ₹31 (c) ₹93 (d) ₹124
17. 17.₹400 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹50 (b) ₹250 (c) ₹200 (d) ₹150
18. 18.₹168 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹84 (b) ₹168 (c) ₹28 (d) ₹140
19. 19.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 14 days (d) 15 days
20. 20.If 9 kites cost ₹225, how much do 2 kites cost? (a) ₹218 (b) ₹450 (c) ₹75 (d) ₹50
21. 21.₹110 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹10 (b) ₹50 (c) ₹60 (d) ₹55
22. 22.₹288 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹144 (b) ₹180 (c) ₹108 (d) ₹36
23. 23.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 2 days (b) 8 days (c) 1 day (d) 7 days
24. 24.If 2 pens cost ₹10, how much do 8 pens cost? (a) ₹40 (b) ₹16 (c) ₹45 (d) ₹80
25. 25.If 2 mangoes cost ₹50, how much do 12 mangoes cost? (a) ₹60 (b) ₹300 (c) ₹325 (d) ₹600
26. 26.If 3 notebooks cost ₹42, how much do 8 notebooks cost? (a) ₹47 (b) ₹112 (c) ₹336 (d) ₹126
27. 27.6 workers can build a wall in 12 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 8 days (c) 18 days (d) 9 days
28. 28.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 20 days (c) 21 days (d) 5 days
29. 29.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 1 day (c) 2 days (d) 11 days
30. 30.If 6 kites cost ₹96, how much do 4 kites cost? (a) ₹80 (b) ₹64 (c) ₹384 (d) ₹94
31. 31.If 5 pens cost ₹55, how much do 4 pens cost? (a) ₹55 (b) ₹54 (c) ₹220 (d) ₹44
32. 32.₹161 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹138 (b) ₹46 (c) ₹23 (d) ₹115
33. 33.₹420 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹245 (b) ₹175 (c) ₹35 (d) ₹210
34. 34.If 2 mangoes cost ₹42, how much do 9 mangoes cost? (a) ₹49 (b) ₹378 (c) ₹189 (d) ₹210
35. 35.8 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) 9 days (d) 2 days
36. 36.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 19 days
37. 37.If 6 mangoes cost ₹78, how much do 7 mangoes cost? (a) ₹79 (b) ₹104 (c) ₹91 (d) ₹546
38. 38.₹517 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹282 (b) ₹47 (c) ₹235 (d) ₹329
39. 39.₹35 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹7 (b) ₹14 (c) ₹28 (d) ₹21
40. 40.If 5 mangoes cost ₹125, how much do 12 mangoes cost? (a) ₹1500 (b) ₹132 (c) ₹325 (d) ₹300

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