Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 972 · 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 mangoes cost ₹225, how much do 4 mangoes cost? (a) ₹125 (b) ₹100 (c) ₹900 (d) ₹220
2. 2.If 9 notebooks cost ₹144, how much do 5 notebooks cost? (a) ₹140 (b) ₹96 (c) ₹80 (d) ₹720
3. 3.₹264 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹110 (b) ₹132 (c) ₹22 (d) ₹154
4. 4.If 3 pens cost ₹51, how much do 8 pens cost? (a) ₹408 (b) ₹153 (c) ₹136 (d) ₹56
5. 5.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 17 days (d) 15 days
6. 6.₹49 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹43 (b) ₹7 (c) ₹49 (d) ₹42
7. 7.If 5 pens cost ₹100, how much do 12 pens cost? (a) ₹1200 (b) ₹260 (c) ₹107 (d) ₹240
8. 8.If 2 kites cost ₹18, how much do 3 kites cost? (a) ₹36 (b) ₹54 (c) ₹27 (d) ₹19
9. 9.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 36 days (b) 35 days (c) 19 days (d) 11 days
10. 10.₹390 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹30 (b) ₹150 (c) ₹240 (d) ₹195
11. 11.₹390 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹195 (b) ₹270 (c) ₹120 (d) ₹30
12. 12.₹140 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹70 (b) ₹20 (c) ₹100 (d) ₹40
13. 13.8 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 7 days (d) 13 days
14. 14.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 27 days (b) 1 day (c) 17 days (d) 3 days
15. 15.If 8 mangoes cost ₹48, how much do 2 mangoes cost? (a) ₹12 (b) ₹96 (c) ₹18 (d) ₹42
16. 16.₹108 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹36 (b) ₹108 (c) ₹72 (d) ₹54
17. 17.₹352 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹192 (b) ₹176 (c) ₹32 (d) ₹160
18. 18.If 8 pens cost ₹64, how much do 11 pens cost? (a) ₹704 (b) ₹67 (c) ₹88 (d) ₹96
19. 19.₹470 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹141 (b) ₹329 (c) ₹47 (d) ₹235
20. 20.₹70 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹70 (b) ₹10 (c) ₹60 (d) ₹35
21. 21.₹224 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹28 (b) ₹112 (c) ₹84 (d) ₹140
22. 22.If 7 mangoes cost ₹126, how much do 3 mangoes cost? (a) ₹378 (b) ₹72 (c) ₹122 (d) ₹54
23. 23.₹300 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹50 (b) ₹150 (c) ₹250 (d) ₹300
24. 24.₹119 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹34 (b) ₹85 (c) ₹17 (d) ₹102
25. 25.If 2 kites cost ₹44, how much do 3 kites cost? (a) ₹45 (b) ₹66 (c) ₹88 (d) ₹132
26. 26.₹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
27. 27.If 9 pens cost ₹198, how much do 5 pens cost? (a) ₹132 (b) ₹990 (c) ₹194 (d) ₹110
28. 28.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 11 days (c) 13 days (d) 18 days
29. 29.If 9 pens cost ₹72, how much do 6 pens cost? (a) ₹69 (b) ₹432 (c) ₹48 (d) ₹56
30. 30.If 6 notebooks cost ₹84, how much do 9 notebooks cost? (a) ₹87 (b) ₹140 (c) ₹756 (d) ₹126
31. 31.₹44 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹22 (b) ₹11 (c) ₹44 (d) ₹33
32. 32.₹330 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹180 (b) ₹150 (c) ₹165 (d) ₹30
33. 33.If 7 kites cost ₹84, how much do 3 kites cost? (a) ₹252 (b) ₹48 (c) ₹36 (d) ₹80
34. 34.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹23 (b) ₹161 (c) ₹115 (d) ₹138
35. 35.₹117 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹104 (b) ₹13 (c) ₹26 (d) ₹91
36. 36.₹207 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹46 (b) ₹161 (c) ₹23 (d) ₹184
37. 37.₹40 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹20 (b) ₹40 (c) ₹10 (d) ₹30
38. 38.₹155 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹125 (b) ₹155 (c) ₹31 (d) ₹124
39. 39.If 8 kites cost ₹120, how much do 2 kites cost? (a) ₹30 (b) ₹45 (c) ₹114 (d) ₹240
40. 40.6 workers can build a wall in 10 days. How many days will 12 workers take, working at the same speed? (a) 20 days (b) 4 days (c) 16 days (d) 5 days

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