Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 247 · 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 4 notebooks cost ₹36, how much do 2 notebooks cost? (a) ₹18 (b) ₹34 (c) ₹27 (d) ₹72
2. 2.If 8 notebooks cost ₹24, how much do 4 notebooks cost? (a) ₹96 (b) ₹15 (c) ₹12 (d) ₹20
3. 3.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 16 days (c) 17 days (d) 11 days
4. 4.₹104 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹72 (b) ₹52 (c) ₹8 (d) ₹32
5. 5.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 21 days (c) 11 days (d) 1 day
6. 6.If 2 mangoes cost ₹20, how much do 5 mangoes cost? (a) ₹60 (b) ₹23 (c) ₹100 (d) ₹50
7. 7.₹135 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹27 (b) ₹108 (c) ₹54 (d) ₹81
8. 8.If 5 mangoes cost ₹105, how much do 12 mangoes cost? (a) ₹112 (b) ₹1260 (c) ₹252 (d) ₹273
9. 9.₹98 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹14 (b) ₹42 (c) ₹56 (d) ₹49
10. 10.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 5 days (d) 2 days
11. 11.₹143 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹91 (b) ₹78 (c) ₹13 (d) ₹65
12. 12.If 2 pens cost ₹8, how much do 4 pens cost? (a) ₹16 (b) ₹20 (c) ₹32 (d) ₹10
13. 13.If 5 notebooks cost ₹45, how much do 6 notebooks cost? (a) ₹54 (b) ₹270 (c) ₹46 (d) ₹63
14. 14.If 2 kites cost ₹6, how much do 10 kites cost? (a) ₹14 (b) ₹30 (c) ₹60 (d) ₹33
15. 15.8 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 19 days (d) 9 days
16. 16.If 3 mangoes cost ₹30, how much do 2 mangoes cost? (a) ₹29 (b) ₹30 (c) ₹20 (d) ₹60
17. 17.If 5 notebooks cost ₹120, how much do 8 notebooks cost? (a) ₹960 (b) ₹216 (c) ₹123 (d) ₹192
18. 18.If 9 notebooks cost ₹207, how much do 11 notebooks cost? (a) ₹2277 (b) ₹276 (c) ₹209 (d) ₹253
19. 19.If 2 notebooks cost ₹10, how much do 8 notebooks cost? (a) ₹40 (b) ₹45 (c) ₹16 (d) ₹80
20. 20.If 4 mangoes cost ₹28, how much do 11 mangoes cost? (a) ₹84 (b) ₹77 (c) ₹308 (d) ₹35
21. 21.₹187 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹17 (b) ₹85 (c) ₹102 (d) ₹119
22. 22.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 9 days (c) 6 days (d) 8 days
23. 23.If 5 pens cost ₹25, how much do 4 pens cost? (a) ₹100 (b) ₹25 (c) ₹20 (d) ₹24
24. 24.If 9 kites cost ₹189, how much do 7 kites cost? (a) ₹1323 (b) ₹147 (c) ₹187 (d) ₹168
25. 25.₹180 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹54 (b) ₹18 (c) ₹126 (d) ₹90
26. 26.₹240 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹24 (b) ₹120 (c) ₹216 (d) ₹240
27. 27.If 6 notebooks cost ₹36, how much do 8 notebooks cost? (a) ₹54 (b) ₹38 (c) ₹48 (d) ₹288
28. 28.₹484 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹176 (b) ₹44 (c) ₹308 (d) ₹242
29. 29.₹60 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹36 (b) ₹30 (c) ₹24 (d) ₹12
30. 30.₹147 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹147 (b) ₹49 (c) ₹98 (d) ₹99
31. 31.₹672 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹336 (b) ₹432 (c) ₹240 (d) ₹48
32. 32.₹546 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹378 (b) ₹42 (c) ₹168 (d) ₹273
33. 33.3 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 17 days (b) 2 days (c) 4 days (d) 3 days
34. 34.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 2 days (c) 24 days (d) 25 days
35. 35.3 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) 5 days (d) 6 days
36. 36.If 3 kites cost ₹12, how much do 2 kites cost? (a) ₹11 (b) ₹24 (c) ₹8 (d) ₹12
37. 37.₹418 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹152 (b) ₹266 (c) ₹38 (d) ₹209
38. 38.3 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) 4 days (d) 2 days
39. 39.If 8 pens cost ₹128, how much do 4 pens cost? (a) ₹64 (b) ₹512 (c) ₹80 (d) ₹124
40. 40.₹247 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹190 (b) ₹19 (c) ₹76 (d) ₹171

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