Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 892 · 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 3 notebooks cost ₹15, how much do 5 notebooks cost? (a) ₹30 (b) ₹75 (c) ₹17 (d) ₹25
2. 2.If 6 kites cost ₹48, how much do 11 kites cost? (a) ₹528 (b) ₹96 (c) ₹53 (d) ₹88
3. 3.If 6 mangoes cost ₹78, how much do 9 mangoes cost? (a) ₹117 (b) ₹81 (c) ₹130 (d) ₹702
4. 4.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 33 days (c) 32 days (d) 14 days
5. 5.₹77 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹42 (b) ₹7 (c) ₹49 (d) ₹35
6. 6.If 6 kites cost ₹66, how much do 10 kites cost? (a) ₹70 (b) ₹660 (c) ₹121 (d) ₹110
7. 7.If 8 pens cost ₹88, how much do 10 pens cost? (a) ₹90 (b) ₹880 (c) ₹121 (d) ₹110
8. 8.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 21 days (c) 11 days (d) 20 days
9. 9.₹240 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹120 (b) ₹20 (c) ₹140 (d) ₹100
10. 10.6 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 1 day (d) 2 days
11. 11.₹396 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹198 (b) ₹216 (c) ₹180 (d) ₹36
12. 12.₹99 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹89 (b) ₹99 (c) ₹88 (d) ₹11
13. 13.If 7 mangoes cost ₹140, how much do 2 mangoes cost? (a) ₹60 (b) ₹280 (c) ₹135 (d) ₹40
14. 14.If 8 mangoes cost ₹160, how much do 9 mangoes cost? (a) ₹180 (b) ₹161 (c) ₹1440 (d) ₹200
15. 15.5 workers can build a wall in 8 days. How many days will 10 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 4 days (d) 3 days
16. 16.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 7 days (d) 2 days
17. 17.If 2 mangoes cost ₹48, how much do 3 mangoes cost? (a) ₹144 (b) ₹72 (c) ₹49 (d) ₹96
18. 18.If 2 pens cost ₹24, how much do 3 pens cost? (a) ₹25 (b) ₹36 (c) ₹72 (d) ₹48
19. 19.8 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 16 days (c) 17 days (d) 13 days
20. 20.If 7 notebooks cost ₹35, how much do 2 notebooks cost? (a) ₹15 (b) ₹30 (c) ₹10 (d) ₹70
21. 21.If 7 notebooks cost ₹126, how much do 11 notebooks cost? (a) ₹198 (b) ₹1386 (c) ₹216 (d) ₹130
22. 22.₹374 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹204 (b) ₹170 (c) ₹34 (d) ₹187
23. 23.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 17 days (c) 22 days (d) 21 days
24. 24.₹143 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹13 (b) ₹117 (c) ₹26 (d) ₹130
25. 25.3 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
26. 26.If 4 mangoes cost ₹48, how much do 5 mangoes cost? (a) ₹72 (b) ₹60 (c) ₹49 (d) ₹240
27. 27.₹481 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹37 (b) ₹296 (c) ₹185 (d) ₹333
28. 28.If 7 notebooks cost ₹168, how much do 12 notebooks cost? (a) ₹288 (b) ₹2016 (c) ₹173 (d) ₹312
29. 29.₹150 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹45 (b) ₹15 (c) ₹105 (d) ₹75
30. 30.₹56 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹28 (b) ₹7 (c) ₹21 (d) ₹35
31. 31.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 5 days
32. 32.₹231 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹105 (b) ₹147 (c) ₹21 (d) ₹126
33. 33.If 8 notebooks cost ₹64, how much do 12 notebooks cost? (a) ₹68 (b) ₹768 (c) ₹96 (d) ₹104
34. 34.₹300 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹250 (b) ₹300 (c) ₹150 (d) ₹50
35. 35.If 6 notebooks cost ₹42, how much do 3 notebooks cost? (a) ₹126 (b) ₹21 (c) ₹39 (d) ₹28
36. 36.3 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) 3 days (d) 4 days
37. 37.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 5 days (b) 20 days (c) 4 days (d) 36 days
38. 38.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 28 days (c) 18 days (d) 7 days
39. 39.If 8 pens cost ₹136, how much do 6 pens cost? (a) ₹816 (b) ₹134 (c) ₹119 (d) ₹102
40. 40.₹352 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹220 (b) ₹132 (c) ₹44 (d) ₹176

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