Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 884 · 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 5 mangoes cost ₹40, how much do 7 mangoes cost? (a) ₹280 (b) ₹42 (c) ₹64 (d) ₹56
2. 2.If 5 kites cost ₹100, how much do 11 kites cost? (a) ₹106 (b) ₹240 (c) ₹220 (d) ₹1100
3. 3.If 3 pens cost ₹57, how much do 11 pens cost? (a) ₹627 (b) ₹228 (c) ₹209 (d) ₹65
4. 4.₹84 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹12 (b) ₹42 (c) ₹60 (d) ₹24
5. 5.₹396 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹231 (b) ₹198 (c) ₹165 (d) ₹33
6. 6.₹196 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹98 (b) ₹112 (c) ₹28 (d) ₹84
7. 7.If 8 kites cost ₹176, how much do 9 kites cost? (a) ₹220 (b) ₹1584 (c) ₹198 (d) ₹177
8. 8.If 4 kites cost ₹32, how much do 11 kites cost? (a) ₹352 (b) ₹39 (c) ₹88 (d) ₹96
9. 9.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 4 days (d) 9 days
10. 10.₹215 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹129 (b) ₹86 (c) ₹172 (d) ₹43
11. 11.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 25 days (c) 24 days (d) 2 days
12. 12.If 7 mangoes cost ₹91, how much do 11 mangoes cost? (a) ₹143 (b) ₹156 (c) ₹1001 (d) ₹95
13. 13.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 9 days (c) 23 days (d) 13 days
14. 14.If 3 kites cost ₹69, how much do 8 kites cost? (a) ₹552 (b) ₹184 (c) ₹207 (d) ₹74
15. 15.If 8 kites cost ₹40, how much do 11 kites cost? (a) ₹440 (b) ₹55 (c) ₹60 (d) ₹43
16. 16.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 16 days (c) 17 days (d) 4 days
17. 17.If 3 mangoes cost ₹21, how much do 5 mangoes cost? (a) ₹105 (b) ₹23 (c) ₹35 (d) ₹42
18. 18.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 17 days (c) 35 days (d) 11 days
19. 19.If 5 notebooks cost ₹25, how much do 7 notebooks cost? (a) ₹27 (b) ₹40 (c) ₹35 (d) ₹175
20. 20.If 9 kites cost ₹72, how much do 3 kites cost? (a) ₹32 (b) ₹24 (c) ₹66 (d) ₹216
21. 21.₹700 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹50 (b) ₹350 (c) ₹450 (d) ₹250
22. 22.₹240 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹48 (b) ₹144 (c) ₹96 (d) ₹120
23. 23.₹195 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹75 (b) ₹15 (c) ₹120 (d) ₹135
24. 24.If 4 mangoes cost ₹32, how much do 6 mangoes cost? (a) ₹56 (b) ₹48 (c) ₹34 (d) ₹192
25. 25.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 4 days (c) 14 days (d) 10 days
26. 26.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 2 days (c) 19 days (d) 10 days
27. 27.₹96 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹56 (b) ₹40 (c) ₹48 (d) ₹8
28. 28.₹198 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹99 (b) ₹33 (c) ₹198 (d) ₹165
29. 29.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 15 days (c) 34 days (d) 33 days
30. 30.₹108 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹108 (b) ₹54 (c) ₹90 (d) ₹18
31. 31.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 40 days (b) 16 days (c) 41 days (d) 4 days
32. 32.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 19 days (c) 3 days (d) 2 days
33. 33.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 2 days (d) 1 day
34. 34.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 2 days (d) 3 days
35. 35.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹88 (b) ₹96 (c) ₹16 (d) ₹80
36. 36.₹160 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹144 (b) ₹160 (c) ₹16 (d) ₹80
37. 37.₹414 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹207 (b) ₹230 (c) ₹46 (d) ₹184
38. 38.If 3 mangoes cost ₹66, how much do 11 mangoes cost? (a) ₹726 (b) ₹264 (c) ₹74 (d) ₹242
39. 39.₹84 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹12 (b) ₹48 (c) ₹42 (d) ₹36
40. 40.If 4 pens cost ₹40, how much do 8 pens cost? (a) ₹44 (b) ₹90 (c) ₹80 (d) ₹320

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