Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 756 · 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 3 kites cost ₹54, how much do 8 kites cost? (a) ₹432 (b) ₹59 (c) ₹162 (d) ₹144
2. 2.If 6 pens cost ₹24, how much do 7 pens cost? (a) ₹32 (b) ₹168 (c) ₹25 (d) ₹28
3. 3.₹450 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹45 (b) ₹225 (c) ₹405 (d) ₹450
4. 4.9 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 3 days (c) 46 days (d) 45 days
5. 5.₹414 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹184 (b) ₹230 (c) ₹46 (d) ₹207
6. 6.If 3 pens cost ₹45, how much do 6 pens cost? (a) ₹105 (b) ₹48 (c) ₹270 (d) ₹90
7. 7.₹84 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹35 (b) ₹42 (c) ₹7 (d) ₹49
8. 8.₹155 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹31 (b) ₹62 (c) ₹124 (d) ₹93
9. 9.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 18 days (b) 6 days (c) 4 days (d) 36 days
10. 10.₹231 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹168 (b) ₹63 (c) ₹21 (d) ₹189
11. 11.If 6 notebooks cost ₹144, how much do 3 notebooks cost? (a) ₹432 (b) ₹96 (c) ₹72 (d) ₹141
12. 12.₹221 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹136 (b) ₹85 (c) ₹153 (d) ₹17
13. 13.8 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 14 days (b) 9 days (c) 8 days (d) 7 days
14. 14.If 3 pens cost ₹21, how much do 6 pens cost? (a) ₹49 (b) ₹24 (c) ₹126 (d) ₹42
15. 15.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 11 days (d) 7 days
16. 16.₹242 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹121 (b) ₹88 (c) ₹154 (d) ₹22
17. 17.₹539 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹441 (b) ₹49 (c) ₹392 (d) ₹147
18. 18.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 4 days (d) 9 days
19. 19.4 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 25 days (d) 16 days
20. 20.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 9 days (d) 4 days
21. 21.₹124 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹124 (b) ₹62 (c) ₹93 (d) ₹31
22. 22.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 22 days (c) 1 day (d) 21 days
23. 23.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 7 days (d) 4 days
24. 24.If 3 pens cost ₹75, how much do 11 pens cost? (a) ₹300 (b) ₹825 (c) ₹275 (d) ₹83
25. 25.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹20 (b) ₹70 (c) ₹10 (d) ₹45
26. 26.If 5 kites cost ₹55, how much do 6 kites cost? (a) ₹56 (b) ₹66 (c) ₹77 (d) ₹330
27. 27.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 21 days (b) 45 days (c) 5 days (d) 9 days
28. 28.If 3 pens cost ₹69, how much do 4 pens cost? (a) ₹92 (b) ₹70 (c) ₹115 (d) ₹276
29. 29.6 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 3 days (c) 12 days (d) 9 days
30. 30.If 2 mangoes cost ₹28, how much do 6 mangoes cost? (a) ₹84 (b) ₹168 (c) ₹98 (d) ₹32
31. 31.If 9 notebooks cost ₹90, how much do 10 notebooks cost? (a) ₹110 (b) ₹91 (c) ₹900 (d) ₹100
32. 32.₹185 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹37 (b) ₹111 (c) ₹148 (d) ₹74
33. 33.If 2 notebooks cost ₹8, how much do 5 notebooks cost? (a) ₹40 (b) ₹20 (c) ₹11 (d) ₹24
34. 34.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 3 days (d) 4 days
35. 35.If 5 notebooks cost ₹100, how much do 6 notebooks cost? (a) ₹600 (b) ₹120 (c) ₹140 (d) ₹101
36. 36.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 12 days (d) 8 days
37. 37.6 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 17 days (c) 28 days (d) 11 days
38. 38.If 4 kites cost ₹12, how much do 3 kites cost? (a) ₹9 (b) ₹11 (c) ₹12 (d) ₹36
39. 39.3 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) 2 days (d) 4 days
40. 40.If 2 pens cost ₹12, how much do 5 pens cost? (a) ₹60 (b) ₹36 (c) ₹30 (d) ₹15

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