Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 885 · 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 7 notebooks cost ₹35, how much do 12 notebooks cost? (a) ₹65 (b) ₹60 (c) ₹40 (d) ₹420
2. 2.If 3 mangoes cost ₹12, how much do 12 mangoes cost? (a) ₹52 (b) ₹48 (c) ₹144 (d) ₹21
3. 3.If 5 kites cost ₹40, how much do 2 kites cost? (a) ₹24 (b) ₹80 (c) ₹16 (d) ₹37
4. 4.If 2 kites cost ₹24, how much do 12 kites cost? (a) ₹156 (b) ₹288 (c) ₹144 (d) ₹34
5. 5.₹95 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹76 (b) ₹77 (c) ₹19 (d) ₹95
6. 6.If 4 mangoes cost ₹64, how much do 2 mangoes cost? (a) ₹128 (b) ₹62 (c) ₹48 (d) ₹32
7. 7.₹117 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹78 (b) ₹52 (c) ₹13 (d) ₹65
8. 8.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 6 days (d) 5 days
9. 9.If 8 pens cost ₹192, how much do 2 pens cost? (a) ₹72 (b) ₹48 (c) ₹384 (d) ₹186
10. 10.₹322 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹184 (b) ₹46 (c) ₹161 (d) ₹138
11. 11.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 1 day (c) 6 days (d) 8 days
12. 12.5 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 14 days (c) 21 days (d) 10 days
13. 13.If 7 pens cost ₹42, how much do 2 pens cost? (a) ₹18 (b) ₹84 (c) ₹37 (d) ₹12
14. 14.₹304 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹266 (b) ₹304 (c) ₹38 (d) ₹152
15. 15.₹374 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹170 (b) ₹187 (c) ₹204 (d) ₹34
16. 16.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 14 days (c) 9 days (d) 15 days
17. 17.₹340 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹170 (b) ₹102 (c) ₹34 (d) ₹238
18. 18.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 5 days (d) 9 days
19. 19.If 7 kites cost ₹175, how much do 12 kites cost? (a) ₹300 (b) ₹2100 (c) ₹180 (d) ₹325
20. 20.₹308 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹22 (b) ₹198 (c) ₹154 (d) ₹110
21. 21.If 2 kites cost ₹48, how much do 3 kites cost? (a) ₹72 (b) ₹49 (c) ₹96 (d) ₹144
22. 22.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 4 days (d) 3 days
23. 23.If 9 mangoes cost ₹198, how much do 10 mangoes cost? (a) ₹199 (b) ₹1980 (c) ₹220 (d) ₹242
24. 24.If 4 kites cost ₹84, how much do 7 kites cost? (a) ₹168 (b) ₹588 (c) ₹147 (d) ₹87
25. 25.6 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 9 days (d) 1 day
26. 26.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 11 days (d) 8 days
27. 27.If 7 pens cost ₹105, how much do 8 pens cost? (a) ₹120 (b) ₹106 (c) ₹840 (d) ₹135
28. 28.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹28 (b) ₹49 (c) ₹14 (d) ₹70
29. 29.4 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 16 days (c) 14 days (d) 13 days
30. 30.₹84 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹42 (b) ₹21 (c) ₹63 (d) ₹84
31. 31.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 2 days (d) 19 days
32. 32.₹232 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹29 (b) ₹87 (c) ₹116 (d) ₹145
33. 33.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 15 days (d) 14 days
34. 34.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 11 days (d) 3 days
35. 35.If 9 kites cost ₹162, how much do 3 kites cost? (a) ₹486 (b) ₹54 (c) ₹156 (d) ₹72
36. 36.If 7 pens cost ₹49, how much do 2 pens cost? (a) ₹14 (b) ₹21 (c) ₹98 (d) ₹44
37. 37.₹36 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹30 (b) ₹36 (c) ₹6 (d) ₹18
38. 38.₹176 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹48 (b) ₹128 (c) ₹88 (d) ₹16
39. 39.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 54 days (b) 19 days (c) 5 days (d) 55 days
40. 40.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 3 days (d) 4 days

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