Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 317 · 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.If 6 mangoes cost ₹102, how much do 7 mangoes cost? (a) ₹103 (b) ₹119 (c) ₹714 (d) ₹136
2. 2.₹294 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹147 (b) ₹245 (c) ₹294 (d) ₹49
3. 3.₹630 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹225 (b) ₹45 (c) ₹315 (d) ₹405
4. 4.If 8 notebooks cost ₹136, how much do 3 notebooks cost? (a) ₹131 (b) ₹68 (c) ₹51 (d) ₹408
5. 5.₹308 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹176 (b) ₹154 (c) ₹132 (d) ₹44
6. 6.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 5 days (d) 4 days
7. 7.If 6 kites cost ₹60, how much do 8 kites cost? (a) ₹62 (b) ₹480 (c) ₹90 (d) ₹80
8. 8.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 36 days (c) 11 days (d) 35 days
9. 9.If 2 mangoes cost ₹22, how much do 10 mangoes cost? (a) ₹110 (b) ₹121 (c) ₹220 (d) ₹30
10. 10.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 9 days (c) 5 days (d) 15 days
11. 11.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 17 days (c) 1 day (d) 16 days
12. 12.If 2 pens cost ₹16, how much do 7 pens cost? (a) ₹64 (b) ₹112 (c) ₹21 (d) ₹56
13. 13.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 5 days (d) 7 days
14. 14.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 39 days (b) 40 days (c) 19 days (d) 7 days
15. 15.If 6 notebooks cost ₹78, how much do 4 notebooks cost? (a) ₹312 (b) ₹52 (c) ₹76 (d) ₹65
16. 16.If 3 notebooks cost ₹45, how much do 5 notebooks cost? (a) ₹225 (b) ₹47 (c) ₹75 (d) ₹90
17. 17.If 2 mangoes cost ₹6, how much do 3 mangoes cost? (a) ₹12 (b) ₹9 (c) ₹18 (d) ₹7
18. 18.₹550 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹50 (b) ₹275 (c) ₹300 (d) ₹250
19. 19.If 3 notebooks cost ₹57, how much do 12 notebooks cost? (a) ₹684 (b) ₹228 (c) ₹247 (d) ₹66
20. 20.If 8 notebooks cost ₹112, how much do 5 notebooks cost? (a) ₹84 (b) ₹70 (c) ₹109 (d) ₹560
21. 21.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 21 days (c) 63 days (d) 64 days
22. 22.₹30 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹30 (b) ₹15 (c) ₹20 (d) ₹10
23. 23.₹140 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹70 (b) ₹98 (c) ₹14 (d) ₹42
24. 24.₹414 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹184 (b) ₹230 (c) ₹207 (d) ₹46
25. 25.If 7 notebooks cost ₹133, how much do 4 notebooks cost? (a) ₹532 (b) ₹76 (c) ₹95 (d) ₹130
26. 26.If 6 pens cost ₹66, how much do 3 pens cost? (a) ₹63 (b) ₹44 (c) ₹198 (d) ₹33
27. 27.If 3 pens cost ₹21, how much do 11 pens cost? (a) ₹84 (b) ₹29 (c) ₹231 (d) ₹77
28. 28.₹319 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹116 (b) ₹232 (c) ₹203 (d) ₹29
29. 29.If 9 kites cost ₹99, how much do 5 kites cost? (a) ₹495 (b) ₹95 (c) ₹55 (d) ₹66
30. 30.₹40 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹16 (b) ₹8 (c) ₹20 (d) ₹24
31. 31.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 13 days (c) 3 days (d) 5 days
32. 32.₹40 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹10 (b) ₹40 (c) ₹30 (d) ₹20
33. 33.4 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 7 days (b) 23 days (c) 5 days (d) 45 days
34. 34.5 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) 11 days (d) 16 days
35. 35.If 2 notebooks cost ₹24, how much do 3 notebooks cost? (a) ₹25 (b) ₹36 (c) ₹72 (d) ₹48
36. 36.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 2 days (c) 4 days (d) 3 days
37. 37.₹650 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹50 (b) ₹200 (c) ₹325 (d) ₹450
38. 38.If 5 pens cost ₹105, how much do 11 pens cost? (a) ₹252 (b) ₹231 (c) ₹1155 (d) ₹111
39. 39.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹40 (b) ₹72 (c) ₹8 (d) ₹56
40. 40.₹84 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹42 (b) ₹84 (c) ₹63 (d) ₹21

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