Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 541 · 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 4 pens cost ₹80, how much do 6 pens cost? (a) ₹120 (b) ₹140 (c) ₹480 (d) ₹82
2. 2.If 7 mangoes cost ₹154, how much do 12 mangoes cost? (a) ₹159 (b) ₹1848 (c) ₹264 (d) ₹286
3. 3.If 2 kites cost ₹16, how much do 6 kites cost? (a) ₹48 (b) ₹96 (c) ₹56 (d) ₹20
4. 4.₹170 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹102 (b) ₹68 (c) ₹34 (d) ₹85
5. 5.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 21 days (c) 3 days (d) 22 days
6. 6.₹129 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹43 (b) ₹86 (c) ₹87 (d) ₹129
7. 7.If 9 mangoes cost ₹225, how much do 4 mangoes cost? (a) ₹100 (b) ₹125 (c) ₹220 (d) ₹900
8. 8.If 9 notebooks cost ₹216, how much do 10 notebooks cost? (a) ₹2160 (b) ₹240 (c) ₹264 (d) ₹217
9. 9.₹377 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹29 (b) ₹116 (c) ₹290 (d) ₹261
10. 10.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 5 days (d) 8 days
11. 11.If 2 mangoes cost ₹40, how much do 9 mangoes cost? (a) ₹360 (b) ₹180 (c) ₹200 (d) ₹47
12. 12.6 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 2 days (c) 8 days (d) 7 days
13. 13.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 27 days (c) 5 days (d) 3 days
14. 14.₹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
15. 15.₹341 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹217 (b) ₹31 (c) ₹186 (d) ₹155
16. 16.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 6 days (c) 16 days (d) 4 days
17. 17.₹264 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹24 (b) ₹168 (c) ₹132 (d) ₹96
18. 18.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 12 days (d) 18 days
19. 19.₹420 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹150 (b) ₹210 (c) ₹30 (d) ₹270
20. 20.6 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 19 days (b) 9 days (c) 25 days (d) 11 days
21. 21.If 5 mangoes cost ₹75, how much do 3 mangoes cost? (a) ₹225 (b) ₹45 (c) ₹73 (d) ₹60
22. 22.₹396 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹44 (b) ₹352 (c) ₹396 (d) ₹198
23. 23.₹198 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹33 (b) ₹165 (c) ₹198 (d) ₹99
24. 24.If 7 pens cost ₹112, how much do 2 pens cost? (a) ₹224 (b) ₹107 (c) ₹32 (d) ₹48
25. 25.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 45 days (c) 44 days (d) 5 days
26. 26.If 8 notebooks cost ₹56, how much do 12 notebooks cost? (a) ₹672 (b) ₹91 (c) ₹84 (d) ₹60
27. 27.3 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 11 days (c) 16 days (d) 15 days
28. 28.₹187 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹17 (b) ₹102 (c) ₹119 (d) ₹85
29. 29.If 7 notebooks cost ₹35, how much do 6 notebooks cost? (a) ₹34 (b) ₹30 (c) ₹35 (d) ₹210
30. 30.If 2 pens cost ₹32, how much do 12 pens cost? (a) ₹208 (b) ₹384 (c) ₹192 (d) ₹42
31. 31.₹279 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹31 (b) ₹248 (c) ₹217 (d) ₹62
32. 32.If 2 notebooks cost ₹8, how much do 3 notebooks cost? (a) ₹16 (b) ₹24 (c) ₹12 (d) ₹9
33. 33.If 8 pens cost ₹48, how much do 7 pens cost? (a) ₹336 (b) ₹42 (c) ₹48 (d) ₹47
34. 34.If 4 kites cost ₹100, how much do 11 kites cost? (a) ₹1100 (b) ₹107 (c) ₹275 (d) ₹300
35. 35.₹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
36. 36.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 45 days (b) 9 days (c) 5 days (d) 21 days
37. 37.If 3 notebooks cost ₹57, how much do 4 notebooks cost? (a) ₹95 (b) ₹58 (c) ₹228 (d) ₹76
38. 38.₹224 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹224 (b) ₹32 (c) ₹112 (d) ₹192
39. 39.₹190 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹95 (b) ₹38 (c) ₹76 (d) ₹114
40. 40.₹240 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹168 (b) ₹120 (c) ₹24 (d) ₹72

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