Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 135 · 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.₹182 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹91 (b) ₹26 (c) ₹78 (d) ₹104
2. 2.If 4 mangoes cost ₹92, how much do 2 mangoes cost? (a) ₹184 (b) ₹90 (c) ₹69 (d) ₹46
3. 3.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 4 days (d) 5 days
4. 4.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 40 days (d) 41 days
5. 5.If 5 kites cost ₹100, how much do 8 kites cost? (a) ₹103 (b) ₹800 (c) ₹180 (d) ₹160
6. 6.If 8 kites cost ₹88, how much do 3 kites cost? (a) ₹264 (b) ₹33 (c) ₹44 (d) ₹83
7. 7.7 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 29 days (b) 3 days (c) 28 days (d) 13 days
8. 8.5 workers can build a wall in 14 days. How many days will 10 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 9 days (d) 28 days
9. 9.If 9 kites cost ₹171, how much do 5 kites cost? (a) ₹855 (b) ₹114 (c) ₹95 (d) ₹167
10. 10.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 15 days (c) 27 days (d) 3 days
11. 11.If 9 notebooks cost ₹225, how much do 6 notebooks cost? (a) ₹1350 (b) ₹222 (c) ₹150 (d) ₹175
12. 12.If 7 pens cost ₹84, how much do 8 pens cost? (a) ₹96 (b) ₹85 (c) ₹672 (d) ₹108
13. 13.If 9 pens cost ₹225, how much do 6 pens cost? (a) ₹1350 (b) ₹222 (c) ₹175 (d) ₹150
14. 14.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 26 days (d) 11 days
15. 15.If 9 mangoes cost ₹63, how much do 10 mangoes cost? (a) ₹630 (b) ₹70 (c) ₹77 (d) ₹64
16. 16.If 3 pens cost ₹66, how much do 10 pens cost? (a) ₹660 (b) ₹73 (c) ₹220 (d) ₹242
17. 17.If 9 notebooks cost ₹207, how much do 8 notebooks cost? (a) ₹1656 (b) ₹207 (c) ₹184 (d) ₹206
18. 18.₹429 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹195 (b) ₹39 (c) ₹273 (d) ₹234
19. 19.If 6 notebooks cost ₹126, how much do 3 notebooks cost? (a) ₹123 (b) ₹378 (c) ₹84 (d) ₹63
20. 20.If 6 mangoes cost ₹60, how much do 11 mangoes cost? (a) ₹120 (b) ₹660 (c) ₹110 (d) ₹65
21. 21.If 2 pens cost ₹50, how much do 9 pens cost? (a) ₹57 (b) ₹450 (c) ₹225 (d) ₹250
22. 22.If 3 pens cost ₹54, how much do 4 pens cost? (a) ₹90 (b) ₹216 (c) ₹55 (d) ₹72
23. 23.6 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 4 days (c) 36 days (d) 16 days
24. 24.₹105 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹84 (b) ₹21 (c) ₹105 (d) ₹85
25. 25.If 5 notebooks cost ₹30, how much do 4 notebooks cost? (a) ₹29 (b) ₹30 (c) ₹24 (d) ₹120
26. 26.If 7 pens cost ₹133, how much do 8 pens cost? (a) ₹152 (b) ₹171 (c) ₹134 (d) ₹1064
27. 27.If 3 pens cost ₹9, how much do 5 pens cost? (a) ₹15 (b) ₹45 (c) ₹18 (d) ₹11
28. 28.₹602 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹301 (d) ₹387
29. 29.If 6 pens cost ₹42, how much do 4 pens cost? (a) ₹28 (b) ₹35 (c) ₹40 (d) ₹168
30. 30.If 7 notebooks cost ₹28, how much do 8 notebooks cost? (a) ₹224 (b) ₹32 (c) ₹29 (d) ₹36
31. 31.₹143 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹55 (b) ₹88 (c) ₹11 (d) ₹99
32. 32.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 7 days (c) 16 days (d) 15 days
33. 33.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 15 days (c) 14 days (d) 12 days
34. 34.If 3 mangoes cost ₹69, how much do 12 mangoes cost? (a) ₹78 (b) ₹276 (c) ₹299 (d) ₹828
35. 35.₹180 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹150 (b) ₹180 (c) ₹30 (d) ₹90
36. 36.If 6 kites cost ₹120, how much do 4 kites cost? (a) ₹100 (b) ₹480 (c) ₹80 (d) ₹118
37. 37.₹96 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹96 (b) ₹72 (c) ₹24 (d) ₹48
38. 38.If 2 mangoes cost ₹48, how much do 12 mangoes cost? (a) ₹58 (b) ₹576 (c) ₹312 (d) ₹288
39. 39.If 8 kites cost ₹56, how much do 4 kites cost? (a) ₹52 (b) ₹35 (c) ₹224 (d) ₹28
40. 40.₹144 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹16 (b) ₹72 (c) ₹80 (d) ₹64

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