Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 444 · 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.₹110 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹44 (b) ₹55 (c) ₹66 (d) ₹22
2. 2.If 7 pens cost ₹98, how much do 3 pens cost? (a) ₹94 (b) ₹42 (c) ₹294 (d) ₹56
3. 3.₹248 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹93 (b) ₹155 (c) ₹31 (d) ₹124
4. 4.If 7 pens cost ₹28, how much do 5 pens cost? (a) ₹20 (b) ₹26 (c) ₹24 (d) ₹140
5. 5.If 5 notebooks cost ₹30, how much do 8 notebooks cost? (a) ₹240 (b) ₹54 (c) ₹48 (d) ₹33
6. 6.₹45 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹45 (b) ₹37 (c) ₹9 (d) ₹36
7. 7.If 6 mangoes cost ₹132, how much do 3 mangoes cost? (a) ₹129 (b) ₹88 (c) ₹66 (d) ₹396
8. 8.If 6 kites cost ₹84, how much do 3 kites cost? (a) ₹56 (b) ₹252 (c) ₹42 (d) ₹81
9. 9.₹133 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹133 (b) ₹115 (c) ₹114 (d) ₹19
10. 10.₹121 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹11 (b) ₹77 (c) ₹55 (d) ₹66
11. 11.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 5 days (c) 14 days (d) 15 days
12. 12.9 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 36 days (c) 37 days (d) 15 days
13. 13.6 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 9 days (b) 14 days (c) 16 days (d) 10 days
14. 14.If 3 pens cost ₹24, how much do 2 pens cost? (a) ₹48 (b) ₹24 (c) ₹16 (d) ₹23
15. 15.₹72 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹36 (b) ₹42 (c) ₹30 (d) ₹6
16. 16.If 4 kites cost ₹24, how much do 3 kites cost? (a) ₹23 (b) ₹18 (c) ₹72 (d) ₹24
17. 17.If 5 pens cost ₹20, how much do 7 pens cost? (a) ₹140 (b) ₹22 (c) ₹32 (d) ₹28
18. 18.₹154 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹77 (b) ₹11 (c) ₹55 (d) ₹99
19. 19.If 2 notebooks cost ₹12, how much do 6 notebooks cost? (a) ₹42 (b) ₹72 (c) ₹16 (d) ₹36
20. 20.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 17 days (d) 1 day
21. 21.If 2 kites cost ₹42, how much do 3 kites cost? (a) ₹43 (b) ₹84 (c) ₹126 (d) ₹63
22. 22.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 17 days (c) 9 days (d) 13 days
23. 23.₹195 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹39 (b) ₹195 (c) ₹156 (d) ₹157
24. 24.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 27 days (c) 26 days (d) 15 days
25. 25.If 4 pens cost ₹84, how much do 10 pens cost? (a) ₹840 (b) ₹231 (c) ₹210 (d) ₹90
26. 26.₹330 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹165 (b) ₹30 (c) ₹240 (d) ₹90
27. 27.6 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 31 days (b) 14 days (c) 30 days (d) 6 days
28. 28.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 23 days (c) 22 days (d) 9 days
29. 29.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 17 days (c) 4 days (d) 5 days
30. 30.If 8 pens cost ₹104, how much do 10 pens cost? (a) ₹130 (b) ₹143 (c) ₹106 (d) ₹1040
31. 31.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 11 days (c) 10 days (d) 7 days
32. 32.₹161 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹92 (b) ₹69 (c) ₹23 (d) ₹115
33. 33.If 5 kites cost ₹15, how much do 11 kites cost? (a) ₹165 (b) ₹36 (c) ₹33 (d) ₹21
34. 34.If 2 mangoes cost ₹34, how much do 5 mangoes cost? (a) ₹102 (b) ₹170 (c) ₹85 (d) ₹37
35. 35.6 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 5 days (c) 4 days (d) 11 days
36. 36.If 7 pens cost ₹35, how much do 8 pens cost? (a) ₹45 (b) ₹36 (c) ₹280 (d) ₹40
37. 37.₹273 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹156 (b) ₹117 (c) ₹39 (d) ₹195
38. 38.₹308 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹56 (b) ₹154 (c) ₹252 (d) ₹28
39. 39.If 9 pens cost ₹198, how much do 3 pens cost? (a) ₹594 (b) ₹66 (c) ₹88 (d) ₹192
40. 40.₹315 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹281 (b) ₹315 (c) ₹35 (d) ₹280

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