Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 634 · 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 kites cost ₹48, how much do 5 kites cost? (a) ₹72 (b) ₹240 (c) ₹49 (d) ₹60
2. 2.₹95 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹57 (b) ₹76 (c) ₹38 (d) ₹19
3. 3.₹360 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹80 (b) ₹40 (c) ₹180 (d) ₹280
4. 4.If 3 kites cost ₹60, how much do 10 kites cost? (a) ₹200 (b) ₹67 (c) ₹600 (d) ₹220
5. 5.₹340 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹34 (b) ₹170 (c) ₹340 (d) ₹306
6. 6.₹378 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹243 (b) ₹189 (c) ₹27 (d) ₹135
7. 7.₹264 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹144 (b) ₹132 (c) ₹120 (d) ₹24
8. 8.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹10 (b) ₹45 (c) ₹70 (d) ₹20
9. 9.If 5 notebooks cost ₹95, how much do 7 notebooks cost? (a) ₹97 (b) ₹133 (c) ₹152 (d) ₹665
10. 10.₹198 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹18 (b) ₹99 (c) ₹144 (d) ₹54
11. 11.If 9 notebooks cost ₹162, how much do 10 notebooks cost? (a) ₹163 (b) ₹198 (c) ₹1620 (d) ₹180
12. 12.If 7 kites cost ₹119, how much do 4 kites cost? (a) ₹116 (b) ₹68 (c) ₹85 (d) ₹476
13. 13.If 6 mangoes cost ₹120, how much do 7 mangoes cost? (a) ₹840 (b) ₹160 (c) ₹121 (d) ₹140
14. 14.If 3 kites cost ₹72, how much do 2 kites cost? (a) ₹72 (b) ₹48 (c) ₹144 (d) ₹71
15. 15.₹322 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹207 (b) ₹115 (c) ₹23 (d) ₹161
16. 16.₹54 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹9 (b) ₹45 (c) ₹27 (d) ₹54
17. 17.₹152 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹76 (b) ₹57 (c) ₹19 (d) ₹95
18. 18.If 2 kites cost ₹24, how much do 10 kites cost? (a) ₹32 (b) ₹240 (c) ₹120 (d) ₹132
19. 19.₹84 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹24 (b) ₹42 (c) ₹60 (d) ₹12
20. 20.If 2 mangoes cost ₹40, how much do 7 mangoes cost? (a) ₹280 (b) ₹140 (c) ₹45 (d) ₹160
21. 21.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 27 days (d) 26 days
22. 22.If 3 pens cost ₹9, how much do 4 pens cost? (a) ₹12 (b) ₹36 (c) ₹15 (d) ₹10
23. 23.If 3 mangoes cost ₹9, how much do 7 mangoes cost? (a) ₹63 (b) ₹21 (c) ₹13 (d) ₹24
24. 24.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 19 days
25. 25.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 16 days (d) 13 days
26. 26.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹324 (b) ₹144 (c) ₹36 (d) ₹234
27. 27.8 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 41 days (b) 20 days (c) 40 days (d) 10 days
28. 28.If 7 notebooks cost ₹133, how much do 2 notebooks cost? (a) ₹38 (b) ₹128 (c) ₹57 (d) ₹266
29. 29.If 2 notebooks cost ₹10, how much do 3 notebooks cost? (a) ₹15 (b) ₹20 (c) ₹11 (d) ₹30
30. 30.If 7 mangoes cost ₹161, how much do 5 mangoes cost? (a) ₹138 (b) ₹159 (c) ₹805 (d) ₹115
31. 31.₹165 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹33 (b) ₹99 (c) ₹66 (d) ₹132
32. 32.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 4 days (c) 14 days (d) 15 days
33. 33.If 5 mangoes cost ₹30, how much do 12 mangoes cost? (a) ₹37 (b) ₹72 (c) ₹78 (d) ₹360
34. 34.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 13 days (d) 6 days
35. 35.₹252 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹147 (b) ₹126 (c) ₹105 (d) ₹21
36. 36.If 9 pens cost ₹36, how much do 5 pens cost? (a) ₹32 (b) ₹24 (c) ₹20 (d) ₹180
37. 37.If 2 mangoes cost ₹20, how much do 12 mangoes cost? (a) ₹120 (b) ₹240 (c) ₹130 (d) ₹30
38. 38.₹195 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹78 (b) ₹156 (c) ₹117 (d) ₹39
39. 39.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 27 days (b) 28 days (c) 3 days (d) 15 days
40. 40.3 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 32 days (b) 17 days (c) 2 days (d) 3 days

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