Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 366 · 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 2 kites cost ₹44, how much do 4 kites cost? (a) ₹176 (b) ₹46 (c) ₹110 (d) ₹88
2. 2.If 2 kites cost ₹14, how much do 9 kites cost? (a) ₹63 (b) ₹126 (c) ₹70 (d) ₹21
3. 3.₹45 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹30 (b) ₹25 (c) ₹20 (d) ₹5
4. 4.If 7 notebooks cost ₹49, how much do 3 notebooks cost? (a) ₹147 (b) ₹45 (c) ₹28 (d) ₹21
5. 5.If 5 kites cost ₹30, how much do 3 kites cost? (a) ₹28 (b) ₹90 (c) ₹18 (d) ₹24
6. 6.₹200 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹40 (b) ₹200 (c) ₹100 (d) ₹160
7. 7.If 8 pens cost ₹80, how much do 3 pens cost? (a) ₹240 (b) ₹75 (c) ₹30 (d) ₹40
8. 8.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 40 days (b) 7 days (c) 39 days (d) 19 days
9. 9.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹27 (b) ₹45 (c) ₹9 (d) ₹36
10. 10.If 3 kites cost ₹33, how much do 10 kites cost? (a) ₹330 (b) ₹121 (c) ₹40 (d) ₹110
11. 11.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹56 (b) ₹40 (c) ₹72 (d) ₹8
12. 12.₹440 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹396 (b) ₹440 (c) ₹44 (d) ₹220
13. 13.₹55 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹55 (b) ₹44 (c) ₹11 (d) ₹45
14. 14.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 10 days (c) 11 days (d) 8 days
15. 15.If 2 pens cost ₹30, how much do 3 pens cost? (a) ₹45 (b) ₹31 (c) ₹90 (d) ₹60
16. 16.If 2 notebooks cost ₹12, how much do 6 notebooks cost? (a) ₹42 (b) ₹36 (c) ₹16 (d) ₹72
17. 17.₹198 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹198 (b) ₹33 (c) ₹165 (d) ₹99
18. 18.If 6 notebooks cost ₹54, how much do 11 notebooks cost? (a) ₹594 (b) ₹99 (c) ₹108 (d) ₹59
19. 19.If 7 pens cost ₹126, how much do 2 pens cost? (a) ₹54 (b) ₹252 (c) ₹121 (d) ₹36
20. 20.If 3 mangoes cost ₹36, how much do 4 mangoes cost? (a) ₹37 (b) ₹60 (c) ₹48 (d) ₹144
21. 21.₹348 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹29 (b) ₹145 (c) ₹174 (d) ₹203
22. 22.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 3 days (d) 5 days
23. 23.₹312 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹120 (b) ₹24 (c) ₹192 (d) ₹156
24. 24.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 9 days (c) 14 days (d) 13 days
25. 25.If 2 notebooks cost ₹42, how much do 9 notebooks cost? (a) ₹378 (b) ₹210 (c) ₹189 (d) ₹49
26. 26.₹70 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹35 (b) ₹10 (c) ₹30 (d) ₹40
27. 27.If 6 mangoes cost ₹66, how much do 10 mangoes cost? (a) ₹121 (b) ₹660 (c) ₹70 (d) ₹110
28. 28.₹150 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹135 (b) ₹15 (c) ₹150 (d) ₹75
29. 29.If 2 pens cost ₹48, how much do 6 pens cost? (a) ₹52 (b) ₹288 (c) ₹168 (d) ₹144
30. 30.If 2 kites cost ₹16, how much do 6 kites cost? (a) ₹56 (b) ₹20 (c) ₹48 (d) ₹96
31. 31.₹600 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹350 (b) ₹50 (c) ₹300 (d) ₹250
32. 32.6 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 8 days (c) 23 days (d) 22 days
33. 33.9 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 11 days (d) 10 days
34. 34.If 3 mangoes cost ₹24, how much do 9 mangoes cost? (a) ₹80 (b) ₹30 (c) ₹216 (d) ₹72
35. 35.If 8 pens cost ₹40, how much do 10 pens cost? (a) ₹50 (b) ₹55 (c) ₹42 (d) ₹400
36. 36.₹80 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹48 (b) ₹40 (c) ₹32 (d) ₹16
37. 37.₹552 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹46 (b) ₹322 (c) ₹230 (d) ₹276
38. 38.₹518 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹259 (b) ₹185 (c) ₹37 (d) ₹333
39. 39.₹180 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹30 (b) ₹90 (c) ₹180 (d) ₹150
40. 40.4 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 11 days (d) 7 days

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