Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 672 · 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 7 notebooks cost ₹70, how much do 5 notebooks cost? (a) ₹68 (b) ₹350 (c) ₹50 (d) ₹60
2. 2.₹189 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹168 (b) ₹169 (c) ₹21 (d) ₹189
3. 3.6 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 12 days (b) 7 days (c) 5 days (d) 6 days
4. 4.₹189 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹189 (b) ₹163 (c) ₹27 (d) ₹162
5. 5.If 6 kites cost ₹102, how much do 12 kites cost? (a) ₹1224 (b) ₹108 (c) ₹221 (d) ₹204
6. 6.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 19 days
7. 7.₹273 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹235 (b) ₹234 (c) ₹39 (d) ₹273
8. 8.₹90 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹10 (b) ₹45 (c) ₹40 (d) ₹50
9. 9.If 9 notebooks cost ₹153, how much do 12 notebooks cost? (a) ₹221 (b) ₹1836 (c) ₹204 (d) ₹156
10. 10.4 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 9 days (d) 21 days
11. 11.₹550 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹50 (b) ₹275 (c) ₹400 (d) ₹150
12. 12.₹200 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹180 (b) ₹100 (c) ₹200 (d) ₹20
13. 13.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 12 days (d) 8 days
14. 14.₹301 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹258 (b) ₹43 (c) ₹215 (d) ₹86
15. 15.₹324 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹27 (b) ₹189 (c) ₹162 (d) ₹135
16. 16.7 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 6 days (d) 8 days
17. 17.₹294 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹49 (b) ₹147 (c) ₹245 (d) ₹294
18. 18.₹66 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹42 (b) ₹33 (c) ₹24 (d) ₹6
19. 19.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 40 days (b) 19 days (c) 39 days (d) 7 days
20. 20.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 48 days (c) 6 days (d) 3 days
21. 21.5 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 19 days (d) 6 days
22. 22.₹60 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹10 (b) ₹50 (c) ₹60 (d) ₹30
23. 23.If 9 notebooks cost ₹108, how much do 7 notebooks cost? (a) ₹96 (b) ₹84 (c) ₹106 (d) ₹756
24. 24.If 5 pens cost ₹80, how much do 11 pens cost? (a) ₹86 (b) ₹176 (c) ₹192 (d) ₹880
25. 25.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 21 days (d) 20 days
26. 26.₹104 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹13 (b) ₹65 (c) ₹39 (d) ₹52
27. 27.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 18 days (c) 28 days (d) 7 days
28. 28.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 13 days (d) 14 days
29. 29.₹264 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹144 (b) ₹120 (c) ₹132 (d) ₹24
30. 30.₹208 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹80 (b) ₹16 (c) ₹104 (d) ₹128
31. 31.3 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) 4 days (d) 2 days
32. 32.If 9 mangoes cost ₹180, how much do 10 mangoes cost? (a) ₹1800 (b) ₹181 (c) ₹200 (d) ₹220
33. 33.If 2 mangoes cost ₹46, how much do 11 mangoes cost? (a) ₹276 (b) ₹253 (c) ₹55 (d) ₹506
34. 34.If 2 notebooks cost ₹16, how much do 11 notebooks cost? (a) ₹96 (b) ₹176 (c) ₹88 (d) ₹25
35. 35.If 5 notebooks cost ₹125, how much do 12 notebooks cost? (a) ₹325 (b) ₹300 (c) ₹132 (d) ₹1500
36. 36.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 17 days (b) 4 days (c) 6 days (d) 5 days
37. 37.If 9 kites cost ₹117, how much do 7 kites cost? (a) ₹115 (b) ₹104 (c) ₹819 (d) ₹91
38. 38.8 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 7 days (b) 13 days (c) 6 days (d) 5 days
39. 39.₹517 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹94 (b) ₹47 (c) ₹423 (d) ₹470
40. 40.If 3 notebooks cost ₹51, how much do 2 notebooks cost? (a) ₹51 (b) ₹50 (c) ₹34 (d) ₹102

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