Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 758 · 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 kites cost ₹35, how much do 12 kites cost? (a) ₹60 (b) ₹420 (c) ₹65 (d) ₹40
2. 2.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 34 days (b) 17 days (c) 5 days (d) 33 days
3. 3.₹169 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹52 (b) ₹117 (c) ₹13 (d) ₹130
4. 4.If 2 pens cost ₹18, how much do 3 pens cost? (a) ₹54 (b) ₹19 (c) ₹36 (d) ₹27
5. 5.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 3 days (c) 8 days (d) 7 days
6. 6.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 3 days (c) 4 days (d) 2 days
7. 7.₹180 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹90 (b) ₹72 (c) ₹36 (d) ₹108
8. 8.₹658 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹47 (b) ₹329 (c) ₹235 (d) ₹423
9. 9.₹315 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹175 (b) ₹210 (c) ₹140 (d) ₹35
10. 10.₹100 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹80 (b) ₹100 (c) ₹50 (d) ₹20
11. 11.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 15 days (c) 8 days (d) 6 days
12. 12.If 2 notebooks cost ₹28, how much do 6 notebooks cost? (a) ₹84 (b) ₹98 (c) ₹168 (d) ₹32
13. 13.8 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 7 days (c) 12 days (d) 13 days
14. 14.₹208 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹26 (b) ₹104 (c) ₹78 (d) ₹130
15. 15.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 12 days (d) 16 days
16. 16.₹240 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹120 (b) ₹48 (c) ₹96 (d) ₹144
17. 17.If 7 notebooks cost ₹140, how much do 10 notebooks cost? (a) ₹200 (b) ₹143 (c) ₹220 (d) ₹1400
18. 18.₹117 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹91 (b) ₹104 (c) ₹13 (d) ₹26
19. 19.6 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 12 days (c) 25 days (d) 24 days
20. 20.₹84 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹21 (b) ₹84 (c) ₹63 (d) ₹42
21. 21.If 7 kites cost ₹98, how much do 5 kites cost? (a) ₹490 (b) ₹70 (c) ₹84 (d) ₹96
22. 22.If 8 notebooks cost ₹64, how much do 12 notebooks cost? (a) ₹104 (b) ₹68 (c) ₹768 (d) ₹96
23. 23.₹259 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹111 (b) ₹185 (c) ₹148 (d) ₹37
24. 24.₹650 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹200 (b) ₹450 (c) ₹50 (d) ₹325
25. 25.If 9 notebooks cost ₹90, how much do 6 notebooks cost? (a) ₹540 (b) ₹60 (c) ₹70 (d) ₹87
26. 26.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 5 days (d) 6 days
27. 27.₹215 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹172 (b) ₹215 (c) ₹43 (d) ₹173
28. 28.If 6 pens cost ₹126, how much do 4 pens cost? (a) ₹504 (b) ₹124 (c) ₹105 (d) ₹84
29. 29.₹220 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹110 (b) ₹20 (c) ₹120 (d) ₹100
30. 30.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 1 day (b) 9 days (c) 10 days (d) 8 days
31. 31.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 8 days (d) 1 day
32. 32.₹140 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹70 (b) ₹10 (c) ₹90 (d) ₹50
33. 33.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 7 days (d) 11 days
34. 34.₹297 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹243 (b) ₹27 (c) ₹81 (d) ₹216
35. 35.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 9 days (d) 10 days
36. 36.If 8 mangoes cost ₹48, how much do 4 mangoes cost? (a) ₹44 (b) ₹192 (c) ₹30 (d) ₹24
37. 37.4 workers can build a wall in 15 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 17 days (c) 10 days (d) 13 days
38. 38.If 5 kites cost ₹70, how much do 7 kites cost? (a) ₹98 (b) ₹72 (c) ₹490 (d) ₹112
39. 39.If 2 pens cost ₹14, how much do 11 pens cost? (a) ₹77 (b) ₹84 (c) ₹154 (d) ₹23
40. 40.If 5 kites cost ₹60, how much do 10 kites cost? (a) ₹600 (b) ₹132 (c) ₹120 (d) ₹65

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