Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 169 · 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 8 mangoes cost ₹168, how much do 6 mangoes cost? (a) ₹1008 (b) ₹166 (c) ₹147 (d) ₹126
2. 2.If 3 pens cost ₹24, how much do 11 pens cost? (a) ₹32 (b) ₹264 (c) ₹96 (d) ₹88
3. 3.If 5 notebooks cost ₹45, how much do 6 notebooks cost? (a) ₹63 (b) ₹54 (c) ₹46 (d) ₹270
4. 4.If 8 pens cost ₹184, how much do 12 pens cost? (a) ₹188 (b) ₹276 (c) ₹299 (d) ₹2208
5. 5.₹403 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹155 (b) ₹279 (c) ₹248 (d) ₹31
6. 6.If 4 mangoes cost ₹44, how much do 10 mangoes cost? (a) ₹50 (b) ₹440 (c) ₹110 (d) ₹121
7. 7.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 18 days (b) 6 days (c) 7 days (d) 10 days
8. 8.If 4 pens cost ₹84, how much do 5 pens cost? (a) ₹105 (b) ₹420 (c) ₹85 (d) ₹126
9. 9.4 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 14 days (c) 3 days (d) 5 days
10. 10.If 2 notebooks cost ₹38, how much do 4 notebooks cost? (a) ₹152 (b) ₹95 (c) ₹76 (d) ₹40
11. 11.4 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 8 days (d) 4 days
12. 12.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹80 (b) ₹88 (c) ₹16 (d) ₹96
13. 13.If 9 notebooks cost ₹162, how much do 4 notebooks cost? (a) ₹157 (b) ₹648 (c) ₹72 (d) ₹90
14. 14.₹72 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹9 (b) ₹72 (c) ₹36 (d) ₹63
15. 15.₹308 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹28 (b) ₹154 (c) ₹140 (d) ₹168
16. 16.If 6 pens cost ₹30, how much do 4 pens cost? (a) ₹20 (b) ₹120 (c) ₹28 (d) ₹25
17. 17.If 3 mangoes cost ₹33, how much do 4 mangoes cost? (a) ₹132 (b) ₹55 (c) ₹44 (d) ₹34
18. 18.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 39 days (b) 9 days (c) 40 days (d) 17 days
19. 19.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 6 days (d) 5 days
20. 20.8 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 24 days (d) 16 days
21. 21.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 5 days (c) 15 days (d) 9 days
22. 22.₹256 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹32 (b) ₹96 (c) ₹160 (d) ₹128
23. 23.₹429 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹33 (b) ₹297 (c) ₹132 (d) ₹330
24. 24.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 49 days (b) 4 days (c) 19 days (d) 9 days
25. 25.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 18 days (b) 7 days (c) 28 days (d) 10 days
26. 26.If 9 mangoes cost ₹81, how much do 11 mangoes cost? (a) ₹891 (b) ₹108 (c) ₹83 (d) ₹99
27. 27.If 7 kites cost ₹168, how much do 5 kites cost? (a) ₹120 (b) ₹144 (c) ₹840 (d) ₹166
28. 28.₹80 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹64 (b) ₹40 (c) ₹80 (d) ₹16
29. 29.If 5 notebooks cost ₹75, how much do 11 notebooks cost? (a) ₹165 (b) ₹825 (c) ₹81 (d) ₹180
30. 30.If 8 kites cost ₹72, how much do 2 kites cost? (a) ₹27 (b) ₹66 (c) ₹144 (d) ₹18
31. 31.If 8 mangoes cost ₹160, how much do 4 mangoes cost? (a) ₹640 (b) ₹156 (c) ₹100 (d) ₹80
32. 32.4 workers can build a wall in 15 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 13 days (c) 17 days (d) 11 days
33. 33.If 6 pens cost ₹24, how much do 10 pens cost? (a) ₹28 (b) ₹44 (c) ₹40 (d) ₹240
34. 34.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 15 days (b) 8 days (c) 7 days (d) 6 days
35. 35.If 3 mangoes cost ₹60, how much do 9 mangoes cost? (a) ₹200 (b) ₹180 (c) ₹66 (d) ₹540
36. 36.If 4 notebooks cost ₹76, how much do 8 notebooks cost? (a) ₹152 (b) ₹608 (c) ₹80 (d) ₹171
37. 37.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 7 days (d) 4 days
38. 38.₹99 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹44 (b) ₹55 (c) ₹11 (d) ₹66
39. 39.₹492 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹41 (b) ₹246 (c) ₹205 (d) ₹287
40. 40.If 6 notebooks cost ₹60, how much do 12 notebooks cost? (a) ₹130 (b) ₹720 (c) ₹120 (d) ₹66

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