Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 490 · 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 7 mangoes cost ₹126, how much do 4 mangoes cost? (a) ₹123 (b) ₹90 (c) ₹504 (d) ₹72
2. 2.₹494 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹152 (b) ₹247 (c) ₹38 (d) ₹342
3. 3.If 3 mangoes cost ₹42, how much do 4 mangoes cost? (a) ₹56 (b) ₹168 (c) ₹70 (d) ₹43
4. 4.If 9 mangoes cost ₹36, how much do 12 mangoes cost? (a) ₹52 (b) ₹39 (c) ₹48 (d) ₹432
5. 5.If 5 pens cost ₹65, how much do 10 pens cost? (a) ₹143 (b) ₹130 (c) ₹70 (d) ₹650
6. 6.9 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 19 days (b) 3 days (c) 18 days (d) 13 days
7. 7.₹208 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹16 (b) ₹104 (c) ₹128 (d) ₹80
8. 8.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 6 days (d) 11 days
9. 9.If 5 notebooks cost ₹120, how much do 2 notebooks cost? (a) ₹117 (b) ₹240 (c) ₹72 (d) ₹48
10. 10.₹260 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹100 (b) ₹130 (c) ₹20 (d) ₹160
11. 11.7 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 17 days (c) 43 days (d) 42 days
12. 12.If 2 pens cost ₹48, how much do 3 pens cost? (a) ₹144 (b) ₹96 (c) ₹49 (d) ₹72
13. 13.If 2 pens cost ₹8, how much do 7 pens cost? (a) ₹56 (b) ₹32 (c) ₹28 (d) ₹13
14. 14.₹162 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹81 (b) ₹90 (c) ₹18 (d) ₹72
15. 15.If 6 notebooks cost ₹36, how much do 8 notebooks cost? (a) ₹48 (b) ₹38 (c) ₹54 (d) ₹288
16. 16.If 6 kites cost ₹42, how much do 3 kites cost? (a) ₹39 (b) ₹28 (c) ₹21 (d) ₹126
17. 17.₹98 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹98 (b) ₹14 (c) ₹49 (d) ₹84
18. 18.₹77 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹55 (b) ₹44 (c) ₹33 (d) ₹11
19. 19.If 5 notebooks cost ₹65, how much do 6 notebooks cost? (a) ₹390 (b) ₹78 (c) ₹91 (d) ₹66
20. 20.If 3 pens cost ₹54, how much do 8 pens cost? (a) ₹59 (b) ₹432 (c) ₹144 (d) ₹162
21. 21.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 12 days (b) 10 days (c) 16 days (d) 11 days
22. 22.If 4 mangoes cost ₹16, how much do 7 mangoes cost? (a) ₹28 (b) ₹32 (c) ₹19 (d) ₹112
23. 23.If 8 mangoes cost ₹32, how much do 7 mangoes cost? (a) ₹31 (b) ₹28 (c) ₹32 (d) ₹224
24. 24.If 8 mangoes cost ₹56, how much do 10 mangoes cost? (a) ₹58 (b) ₹560 (c) ₹70 (d) ₹77
25. 25.If 5 pens cost ₹125, how much do 3 pens cost? (a) ₹75 (b) ₹100 (c) ₹375 (d) ₹123
26. 26.₹187 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹153 (b) ₹170 (c) ₹34 (d) ₹17
27. 27.₹84 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹42 (b) ₹24 (c) ₹60 (d) ₹12
28. 28.₹473 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹344 (b) ₹43 (c) ₹172 (d) ₹301
29. 29.If 4 pens cost ₹20, how much do 2 pens cost? (a) ₹18 (b) ₹40 (c) ₹10 (d) ₹15
30. 30.₹55 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹35 (b) ₹30 (c) ₹5 (d) ₹25
31. 31.₹588 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹42 (b) ₹378 (c) ₹294 (d) ₹210
32. 32.₹294 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹147 (b) ₹294 (c) ₹252 (d) ₹42
33. 33.₹168 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹84 (b) ₹60 (c) ₹108 (d) ₹12
34. 34.If 5 notebooks cost ₹40, how much do 4 notebooks cost? (a) ₹40 (b) ₹32 (c) ₹39 (d) ₹160
35. 35.If 5 kites cost ₹20, how much do 6 kites cost? (a) ₹21 (b) ₹120 (c) ₹28 (d) ₹24
36. 36.If 5 notebooks cost ₹45, how much do 11 notebooks cost? (a) ₹51 (b) ₹495 (c) ₹108 (d) ₹99
37. 37.₹216 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹36 (b) ₹216 (c) ₹108 (d) ₹180
38. 38.If 8 notebooks cost ₹128, how much do 4 notebooks cost? (a) ₹512 (b) ₹80 (c) ₹64 (d) ₹124
39. 39.₹217 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹93 (b) ₹124 (c) ₹155 (d) ₹31
40. 40.If 2 pens cost ₹32, how much do 11 pens cost? (a) ₹352 (b) ₹176 (c) ₹41 (d) ₹192

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