Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 334 · 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 ₹35, how much do 4 mangoes cost? (a) ₹20 (b) ₹25 (c) ₹140 (d) ₹32
2. 2.If 4 kites cost ₹68, how much do 5 kites cost? (a) ₹69 (b) ₹340 (c) ₹102 (d) ₹85
3. 3.₹286 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹22 (b) ₹143 (c) ₹88 (d) ₹198
4. 4.If 7 kites cost ₹84, how much do 6 kites cost? (a) ₹504 (b) ₹83 (c) ₹72 (d) ₹84
5. 5.If 2 notebooks cost ₹50, how much do 4 notebooks cost? (a) ₹52 (b) ₹125 (c) ₹200 (d) ₹100
6. 6.If 9 kites cost ₹45, how much do 6 kites cost? (a) ₹35 (b) ₹42 (c) ₹30 (d) ₹270
7. 7.If 8 kites cost ₹104, how much do 3 kites cost? (a) ₹39 (b) ₹99 (c) ₹52 (d) ₹312
8. 8.If 5 kites cost ₹90, how much do 10 kites cost? (a) ₹900 (b) ₹198 (c) ₹95 (d) ₹180
9. 9.If 5 notebooks cost ₹120, how much do 6 notebooks cost? (a) ₹168 (b) ₹720 (c) ₹144 (d) ₹121
10. 10.If 2 notebooks cost ₹14, how much do 3 notebooks cost? (a) ₹28 (b) ₹21 (c) ₹15 (d) ₹42
11. 11.₹121 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹55 (b) ₹66 (c) ₹11 (d) ₹77
12. 12.₹95 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹19 (b) ₹95 (c) ₹76 (d) ₹77
13. 13.If 4 notebooks cost ₹44, how much do 9 notebooks cost? (a) ₹110 (b) ₹396 (c) ₹99 (d) ₹49
14. 14.₹238 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹170 (b) ₹68 (c) ₹119 (d) ₹34
15. 15.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 15 days (c) 5 days (d) 35 days
16. 16.₹55 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹11 (b) ₹45 (c) ₹44 (d) ₹55
17. 17.If 7 pens cost ₹119, how much do 3 pens cost? (a) ₹68 (b) ₹357 (c) ₹115 (d) ₹51
18. 18.If 7 pens cost ₹175, how much do 8 pens cost? (a) ₹225 (b) ₹1400 (c) ₹200 (d) ₹176
19. 19.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹115 (b) ₹138 (c) ₹161 (d) ₹23
20. 20.If 5 notebooks cost ₹15, how much do 8 notebooks cost? (a) ₹120 (b) ₹24 (c) ₹27 (d) ₹18
21. 21.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 2 days (c) 32 days (d) 33 days
22. 22.If 5 kites cost ₹105, how much do 9 kites cost? (a) ₹109 (b) ₹189 (c) ₹945 (d) ₹210
23. 23.₹224 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹112 (b) ₹32 (c) ₹64 (d) ₹160
24. 24.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 64 days (b) 63 days (c) 21 days (d) 7 days
25. 25.If 4 notebooks cost ₹60, how much do 10 notebooks cost? (a) ₹66 (b) ₹600 (c) ₹165 (d) ₹150
26. 26.₹304 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹190 (b) ₹38 (c) ₹114 (d) ₹152
27. 27.If 6 mangoes cost ₹72, how much do 5 mangoes cost? (a) ₹72 (b) ₹360 (c) ₹60 (d) ₹71
28. 28.If 7 pens cost ₹49, how much do 12 pens cost? (a) ₹588 (b) ₹91 (c) ₹84 (d) ₹54
29. 29.₹410 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹205 (b) ₹287 (c) ₹123 (d) ₹41
30. 30.If 7 notebooks cost ₹161, how much do 8 notebooks cost? (a) ₹207 (b) ₹1288 (c) ₹184 (d) ₹162
31. 31.₹473 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹344 (b) ₹43 (c) ₹129 (d) ₹387
32. 32.₹44 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹11 (b) ₹44 (c) ₹22 (d) ₹33
33. 33.₹81 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹54 (b) ₹81 (c) ₹27 (d) ₹55
34. 34.₹144 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹80 (b) ₹64 (c) ₹72 (d) ₹16
35. 35.If 6 notebooks cost ₹120, how much do 8 notebooks cost? (a) ₹122 (b) ₹160 (c) ₹960 (d) ₹180
36. 36.If 5 kites cost ₹115, how much do 7 kites cost? (a) ₹161 (b) ₹117 (c) ₹184 (d) ₹805
37. 37.₹120 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹120 (b) ₹96 (c) ₹60 (d) ₹24
38. 38.If 2 kites cost ₹8, how much do 8 kites cost? (a) ₹32 (b) ₹36 (c) ₹14 (d) ₹64
39. 39.₹336 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹168 (b) ₹28 (c) ₹140 (d) ₹196
40. 40.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 10 days (c) 16 days (d) 6 days

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