Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 933 · 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.₹432 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹216 (b) ₹432 (c) ₹384 (d) ₹48
2. 2.₹616 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹220 (b) ₹396 (c) ₹44 (d) ₹308
3. 3.If 5 pens cost ₹45, how much do 9 pens cost? (a) ₹405 (b) ₹49 (c) ₹90 (d) ₹81
4. 4.If 2 kites cost ₹12, how much do 9 kites cost? (a) ₹60 (b) ₹108 (c) ₹54 (d) ₹19
5. 5.If 7 notebooks cost ₹49, how much do 12 notebooks cost? (a) ₹588 (b) ₹91 (c) ₹54 (d) ₹84
6. 6.₹168 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹42 (b) ₹168 (c) ₹84 (d) ₹126
7. 7.If 2 pens cost ₹40, how much do 4 pens cost? (a) ₹80 (b) ₹160 (c) ₹100 (d) ₹42
8. 8.If 6 pens cost ₹54, how much do 2 pens cost? (a) ₹27 (b) ₹18 (c) ₹108 (d) ₹50
9. 9.₹546 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹39 (b) ₹195 (c) ₹273 (d) ₹351
10. 10.6 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 4 days (c) 16 days (d) 8 days
11. 11.₹280 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹280 (b) ₹40 (c) ₹240 (d) ₹140
12. 12.₹559 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹172 (b) ₹43 (c) ₹430 (d) ₹387
13. 13.If 7 mangoes cost ₹42, how much do 2 mangoes cost? (a) ₹84 (b) ₹18 (c) ₹37 (d) ₹12
14. 14.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 12 days (c) 3 days (d) 4 days
15. 15.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 13 days (c) 25 days (d) 4 days
16. 16.6 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 31 days (b) 18 days (c) 12 days (d) 30 days
17. 17.₹174 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹87 (b) ₹29 (c) ₹174 (d) ₹145
18. 18.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 21 days (b) 13 days (c) 22 days (d) 17 days
19. 19.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹48 (b) ₹60 (c) ₹54 (d) ₹12
20. 20.If 3 kites cost ₹15, how much do 2 kites cost? (a) ₹14 (b) ₹10 (c) ₹30 (d) ₹15
21. 21.If 3 notebooks cost ₹72, how much do 11 notebooks cost? (a) ₹80 (b) ₹264 (c) ₹288 (d) ₹792
22. 22.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 19 days (c) 2 days (d) 4 days
23. 23.If 8 mangoes cost ₹104, how much do 4 mangoes cost? (a) ₹65 (b) ₹52 (c) ₹100 (d) ₹416
24. 24.₹220 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹110 (b) ₹66 (c) ₹22 (d) ₹154
25. 25.If 2 mangoes cost ₹8, how much do 5 mangoes cost? (a) ₹24 (b) ₹11 (c) ₹20 (d) ₹40
26. 26.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹6 (b) ₹21 (c) ₹18 (d) ₹24
27. 27.If 4 kites cost ₹92, how much do 9 kites cost? (a) ₹207 (b) ₹97 (c) ₹828 (d) ₹230
28. 28.₹288 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹36 (b) ₹288 (c) ₹144 (d) ₹252
29. 29.If 9 kites cost ₹180, how much do 8 kites cost? (a) ₹160 (b) ₹180 (c) ₹1440 (d) ₹179
30. 30.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 49 days (c) 19 days (d) 4 days
31. 31.If 6 notebooks cost ₹138, how much do 3 notebooks cost? (a) ₹414 (b) ₹135 (c) ₹92 (d) ₹69
32. 32.9 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 9 days (b) 10 days (c) 8 days (d) 7 days
33. 33.₹294 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹252 (b) ₹147 (c) ₹42 (d) ₹294
34. 34.If 9 mangoes cost ₹135, how much do 7 mangoes cost? (a) ₹133 (b) ₹945 (c) ₹120 (d) ₹105
35. 35.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 45 days (b) 44 days (c) 17 days (d) 5 days
36. 36.If 9 kites cost ₹45, how much do 3 kites cost? (a) ₹15 (b) ₹20 (c) ₹39 (d) ₹135
37. 37.If 8 pens cost ₹56, how much do 4 pens cost? (a) ₹224 (b) ₹52 (c) ₹35 (d) ₹28
38. 38.If 6 pens cost ₹24, how much do 2 pens cost? (a) ₹12 (b) ₹48 (c) ₹8 (d) ₹20
39. 39.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 7 days (d) 3 days
40. 40.If 8 kites cost ₹104, how much do 9 kites cost? (a) ₹936 (b) ₹117 (c) ₹130 (d) ₹105

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