Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 113 · 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.₹168 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹24 (b) ₹48 (c) ₹84 (d) ₹120
2. 2.₹400 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹400 (b) ₹200 (c) ₹50 (d) ₹350
3. 3.8 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 17 days (c) 33 days (d) 32 days
4. 4.₹70 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹20 (b) ₹35 (c) ₹50 (d) ₹10
5. 5.If 3 notebooks cost ₹60, how much do 8 notebooks cost? (a) ₹65 (b) ₹160 (c) ₹480 (d) ₹180
6. 6.₹256 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹32 (b) ₹256 (c) ₹224 (d) ₹128
7. 7.₹376 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹47 (b) ₹188 (c) ₹376 (d) ₹329
8. 8.If 6 mangoes cost ₹150, how much do 9 mangoes cost? (a) ₹153 (b) ₹250 (c) ₹1350 (d) ₹225
9. 9.If 3 kites cost ₹21, how much do 9 kites cost? (a) ₹70 (b) ₹63 (c) ₹27 (d) ₹189
10. 10.If 4 notebooks cost ₹12, how much do 7 notebooks cost? (a) ₹24 (b) ₹15 (c) ₹84 (d) ₹21
11. 11.If 9 kites cost ₹99, how much do 4 kites cost? (a) ₹94 (b) ₹44 (c) ₹55 (d) ₹396
12. 12.₹504 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹36 (b) ₹324 (c) ₹180 (d) ₹252
13. 13.If 7 notebooks cost ₹105, how much do 11 notebooks cost? (a) ₹180 (b) ₹165 (c) ₹1155 (d) ₹109
14. 14.₹195 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹60 (b) ₹135 (c) ₹15 (d) ₹150
15. 15.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 5 days
16. 16.₹308 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹154 (b) ₹110 (c) ₹22 (d) ₹198
17. 17.If 6 kites cost ₹144, how much do 10 kites cost? (a) ₹264 (b) ₹240 (c) ₹1440 (d) ₹148
18. 18.If 5 mangoes cost ₹20, how much do 12 mangoes cost? (a) ₹48 (b) ₹27 (c) ₹240 (d) ₹52
19. 19.₹342 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹190 (b) ₹38 (c) ₹171 (d) ₹152
20. 20.₹470 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹423 (b) ₹235 (c) ₹470 (d) ₹47
21. 21.₹264 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹132 (b) ₹99 (c) ₹165 (d) ₹33
22. 22.If 4 pens cost ₹16, how much do 5 pens cost? (a) ₹17 (b) ₹24 (c) ₹80 (d) ₹20
23. 23.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 12 days (b) 9 days (c) 3 days (d) 4 days
24. 24.If 3 notebooks cost ₹57, how much do 10 notebooks cost? (a) ₹209 (b) ₹64 (c) ₹570 (d) ₹190
25. 25.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 6 days (d) 8 days
26. 26.₹196 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹70 (b) ₹14 (c) ₹98 (d) ₹126
27. 27.6 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 13 days (c) 12 days (d) 9 days
28. 28.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 11 days (d) 1 day
29. 29.If 6 pens cost ₹24, how much do 10 pens cost? (a) ₹40 (b) ₹28 (c) ₹240 (d) ₹44
30. 30.If 9 mangoes cost ₹108, how much do 10 mangoes cost? (a) ₹109 (b) ₹1080 (c) ₹132 (d) ₹120
31. 31.9 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 7 days (d) 9 days
32. 32.If 2 mangoes cost ₹22, how much do 4 mangoes cost? (a) ₹55 (b) ₹88 (c) ₹44 (d) ₹24
33. 33.If 4 kites cost ₹60, how much do 5 kites cost? (a) ₹90 (b) ₹61 (c) ₹300 (d) ₹75
34. 34.₹462 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹231 (b) ₹42 (c) ₹168 (d) ₹294
35. 35.₹72 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹12 (b) ₹60 (c) ₹72 (d) ₹36
36. 36.If 8 mangoes cost ₹168, how much do 7 mangoes cost? (a) ₹147 (b) ₹1176 (c) ₹168 (d) ₹167
37. 37.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 7 days (c) 16 days (d) 11 days
38. 38.If 6 kites cost ₹96, how much do 8 kites cost? (a) ₹98 (b) ₹144 (c) ₹128 (d) ₹768
39. 39.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 11 days (d) 4 days
40. 40.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 17 days (c) 22 days (d) 21 days

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