Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 698 · 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 9 kites cost ₹117, how much do 11 kites cost? (a) ₹1287 (b) ₹143 (c) ₹156 (d) ₹119
2. 2.6 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 5 days (d) 6 days
3. 3.If 2 kites cost ₹36, how much do 10 kites cost? (a) ₹360 (b) ₹44 (c) ₹198 (d) ₹180
4. 4.₹308 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹110 (b) ₹22 (c) ₹154 (d) ₹198
5. 5.If 5 notebooks cost ₹95, how much do 10 notebooks cost? (a) ₹190 (b) ₹100 (c) ₹950 (d) ₹209
6. 6.₹110 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹110 (b) ₹55 (c) ₹99 (d) ₹11
7. 7.If 4 pens cost ₹28, how much do 10 pens cost? (a) ₹70 (b) ₹280 (c) ₹34 (d) ₹77
8. 8.If 2 notebooks cost ₹18, how much do 3 notebooks cost? (a) ₹19 (b) ₹27 (c) ₹36 (d) ₹54
9. 9.If 8 mangoes cost ₹24, how much do 9 mangoes cost? (a) ₹25 (b) ₹30 (c) ₹216 (d) ₹27
10. 10.If 3 pens cost ₹39, how much do 4 pens cost? (a) ₹40 (b) ₹65 (c) ₹156 (d) ₹52
11. 11.₹172 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹43 (b) ₹129 (c) ₹86 (d) ₹172
12. 12.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 4 days (d) 2 days
13. 13.If 9 pens cost ₹225, how much do 10 pens cost? (a) ₹2250 (b) ₹250 (c) ₹275 (d) ₹226
14. 14.₹216 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹108 (b) ₹27 (c) ₹81 (d) ₹135
15. 15.If 4 mangoes cost ₹32, how much do 12 mangoes cost? (a) ₹384 (b) ₹104 (c) ₹96 (d) ₹40
16. 16.₹385 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹245 (b) ₹35 (c) ₹140 (d) ₹280
17. 17.₹196 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹147 (b) ₹196 (c) ₹98 (d) ₹49
18. 18.₹126 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹18 (b) ₹126 (c) ₹63 (d) ₹108
19. 19.If 5 pens cost ₹75, how much do 7 pens cost? (a) ₹120 (b) ₹105 (c) ₹77 (d) ₹525
20. 20.₹418 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹152 (b) ₹38 (c) ₹209 (d) ₹266
21. 21.If 8 mangoes cost ₹112, how much do 6 mangoes cost? (a) ₹98 (b) ₹110 (c) ₹84 (d) ₹672
22. 22.₹333 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹185 (b) ₹222 (c) ₹37 (d) ₹148
23. 23.₹250 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹125 (b) ₹25 (c) ₹175 (d) ₹75
24. 24.If 9 notebooks cost ₹135, how much do 10 notebooks cost? (a) ₹136 (b) ₹1350 (c) ₹150 (d) ₹165
25. 25.If 3 mangoes cost ₹60, how much do 2 mangoes cost? (a) ₹120 (b) ₹59 (c) ₹60 (d) ₹40
26. 26.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 19 days (c) 2 days (d) 18 days
27. 27.If 3 kites cost ₹54, how much do 6 kites cost? (a) ₹57 (b) ₹324 (c) ₹126 (d) ₹108
28. 28.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 25 days (c) 17 days (d) 9 days
29. 29.If 7 kites cost ₹42, how much do 8 kites cost? (a) ₹43 (b) ₹54 (c) ₹336 (d) ₹48
30. 30.₹252 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹108 (b) ₹36 (c) ₹126 (d) ₹144
31. 31.₹270 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹240 (b) ₹30 (c) ₹270 (d) ₹135
32. 32.If 5 pens cost ₹20, how much do 2 pens cost? (a) ₹12 (b) ₹17 (c) ₹8 (d) ₹40
33. 33.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 27 days (c) 3 days (d) 15 days
34. 34.If 8 kites cost ₹64, how much do 6 kites cost? (a) ₹384 (b) ₹56 (c) ₹62 (d) ₹48
35. 35.6 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 13 days (d) 12 days
36. 36.₹15 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹5 (b) ₹11 (c) ₹15 (d) ₹10
37. 37.If 5 kites cost ₹60, how much do 7 kites cost? (a) ₹96 (b) ₹420 (c) ₹84 (d) ₹62
38. 38.If 2 pens cost ₹10, how much do 11 pens cost? (a) ₹60 (b) ₹110 (c) ₹55 (d) ₹19
39. 39.₹143 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹130 (b) ₹13 (c) ₹117 (d) ₹26
40. 40.9 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 28 days (c) 17 days (d) 27 days

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad