Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 709 · 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 2 : 9. How much is the bigger share? (a) ₹14 (b) ₹77 (c) ₹28 (d) ₹126
2. 2.₹170 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹136 (b) ₹34 (c) ₹170 (d) ₹85
3. 3.If 8 kites cost ₹160, how much do 2 kites cost? (a) ₹60 (b) ₹40 (c) ₹320 (d) ₹154
4. 4.6 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 15 days (c) 16 days (d) 8 days
5. 5.If 9 notebooks cost ₹72, how much do 6 notebooks cost? (a) ₹432 (b) ₹56 (c) ₹69 (d) ₹48
6. 6.If 9 kites cost ₹45, how much do 2 kites cost? (a) ₹15 (b) ₹38 (c) ₹10 (d) ₹90
7. 7.₹45 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹15 (b) ₹31 (c) ₹45 (d) ₹30
8. 8.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 40 days (c) 19 days (d) 39 days
9. 9.If 2 pens cost ₹36, how much do 8 pens cost? (a) ₹144 (b) ₹162 (c) ₹288 (d) ₹42
10. 10.₹288 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹128 (b) ₹144 (c) ₹160 (d) ₹32
11. 11.If 2 mangoes cost ₹30, how much do 9 mangoes cost? (a) ₹135 (b) ₹150 (c) ₹270 (d) ₹37
12. 12.If 9 notebooks cost ₹207, how much do 5 notebooks cost? (a) ₹203 (b) ₹1035 (c) ₹115 (d) ₹138
13. 13.₹195 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹39 (b) ₹157 (c) ₹156 (d) ₹195
14. 14.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 7 days
15. 15.If 5 mangoes cost ₹95, how much do 7 mangoes cost? (a) ₹152 (b) ₹97 (c) ₹133 (d) ₹665
16. 16.₹54 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹27 (b) ₹42 (c) ₹6 (d) ₹12
17. 17.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 6 days (d) 5 days
18. 18.₹36 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹9 (b) ₹18 (c) ₹36 (d) ₹27
19. 19.If 8 kites cost ₹96, how much do 4 kites cost? (a) ₹92 (b) ₹384 (c) ₹60 (d) ₹48
20. 20.If 9 kites cost ₹27, how much do 5 kites cost? (a) ₹18 (b) ₹135 (c) ₹15 (d) ₹23
21. 21.If 4 mangoes cost ₹64, how much do 3 mangoes cost? (a) ₹192 (b) ₹63 (c) ₹48 (d) ₹64
22. 22.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 13 days (c) 8 days (d) 18 days
23. 23.8 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 36 days (c) 37 days (d) 3 days
24. 24.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 26 days (c) 11 days (d) 27 days
25. 25.₹319 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹29 (b) ₹232 (c) ₹116 (d) ₹203
26. 26.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 45 days (c) 21 days (d) 5 days
27. 27.9 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 31 days (b) 16 days (c) 4 days (d) 30 days
28. 28.₹495 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹90 (b) ₹405 (c) ₹45 (d) ₹450
29. 29.If 5 mangoes cost ₹85, how much do 10 mangoes cost? (a) ₹187 (b) ₹170 (c) ₹90 (d) ₹850
30. 30.₹70 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹60 (b) ₹70 (c) ₹10 (d) ₹35
31. 31.If 2 pens cost ₹50, how much do 7 pens cost? (a) ₹175 (b) ₹55 (c) ₹350 (d) ₹200
32. 32.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 12 days (c) 7 days (d) 13 days
33. 33.If 4 pens cost ₹32, how much do 5 pens cost? (a) ₹48 (b) ₹40 (c) ₹160 (d) ₹33
34. 34.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 16 days (b) 12 days (c) 5 days (d) 4 days
35. 35.If 4 kites cost ₹72, how much do 10 kites cost? (a) ₹720 (b) ₹198 (c) ₹78 (d) ₹180
36. 36.₹152 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹57 (b) ₹19 (c) ₹76 (d) ₹95
37. 37.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 25 days (d) 17 days
38. 38.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 21 days (d) 20 days
39. 39.9 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 1 day (c) 37 days (d) 36 days
40. 40.If 2 notebooks cost ₹28, how much do 10 notebooks cost? (a) ₹140 (b) ₹280 (c) ₹36 (d) ₹154

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