Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 281 · 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.₹154 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹84 (b) ₹77 (c) ₹14 (d) ₹70
2. 2.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 14 days (d) 5 days
3. 3.If 7 pens cost ₹147, how much do 11 pens cost? (a) ₹231 (b) ₹151 (c) ₹1617 (d) ₹252
4. 4.If 3 pens cost ₹18, how much do 11 pens cost? (a) ₹198 (b) ₹26 (c) ₹66 (d) ₹72
5. 5.7 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
6. 6.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 7 days
7. 7.₹208 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹16 (b) ₹104 (c) ₹144 (d) ₹64
8. 8.9 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 13 days (c) 5 days (d) 12 days
9. 9.If 6 notebooks cost ₹78, how much do 5 notebooks cost? (a) ₹78 (b) ₹390 (c) ₹65 (d) ₹77
10. 10.₹221 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹153 (b) ₹68 (c) ₹17 (d) ₹170
11. 11.₹528 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹240 (b) ₹264 (c) ₹288 (d) ₹48
12. 12.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 3 days (d) 5 days
13. 13.8 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 5 days (d) 13 days
14. 14.If 2 mangoes cost ₹26, how much do 11 mangoes cost? (a) ₹286 (b) ₹156 (c) ₹35 (d) ₹143
15. 15.₹110 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹90 (b) ₹55 (c) ₹10 (d) ₹20
16. 16.₹224 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹144 (b) ₹112 (c) ₹80 (d) ₹16
17. 17.6 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 12 days
18. 18.If 3 pens cost ₹75, how much do 9 pens cost? (a) ₹81 (b) ₹675 (c) ₹250 (d) ₹225
19. 19.₹299 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹92 (b) ₹230 (c) ₹207 (d) ₹23
20. 20.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 7 days (d) 15 days
21. 21.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 25 days (c) 4 days (d) 7 days
22. 22.₹253 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹23 (b) ₹184 (c) ₹92 (d) ₹161
23. 23.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 11 days (d) 6 days
24. 24.If 2 mangoes cost ₹36, how much do 3 mangoes cost? (a) ₹37 (b) ₹72 (c) ₹54 (d) ₹108
25. 25.₹84 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹21 (b) ₹84 (c) ₹42 (d) ₹63
26. 26.If 6 mangoes cost ₹78, how much do 2 mangoes cost? (a) ₹26 (b) ₹74 (c) ₹39 (d) ₹156
27. 27.₹154 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹99 (b) ₹55 (c) ₹77 (d) ₹11
28. 28.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 1 day (b) 2 days (c) 8 days (d) 3 days
29. 29.₹91 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹26 (b) ₹65 (c) ₹78 (d) ₹13
30. 30.If 7 mangoes cost ₹126, how much do 9 mangoes cost? (a) ₹180 (b) ₹128 (c) ₹1134 (d) ₹162
31. 31.₹154 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹56 (b) ₹14 (c) ₹98 (d) ₹77
32. 32.₹126 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹45 (b) ₹9 (c) ₹63 (d) ₹81
33. 33.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 1 day (b) 8 days (c) 9 days (d) 10 days
34. 34.If 7 mangoes cost ₹161, how much do 4 mangoes cost? (a) ₹644 (b) ₹158 (c) ₹115 (d) ₹92
35. 35.If 4 notebooks cost ₹20, how much do 11 notebooks cost? (a) ₹60 (b) ₹55 (c) ₹220 (d) ₹27
36. 36.3 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
37. 37.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 4 days (c) 12 days (d) 3 days
38. 38.₹135 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹27 (b) ₹135 (c) ₹108 (d) ₹109
39. 39.9 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 15 days (c) 7 days (d) 16 days
40. 40.₹329 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹47 (b) ₹329 (c) ₹283 (d) ₹282

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