Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 343 · 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 ₹119, how much do 8 kites cost? (a) ₹952 (b) ₹136 (c) ₹153 (d) ₹120
2. 2.If 7 kites cost ₹112, how much do 11 kites cost? (a) ₹116 (b) ₹192 (c) ₹1232 (d) ₹176
3. 3.If 8 kites cost ₹64, how much do 3 kites cost? (a) ₹192 (b) ₹32 (c) ₹59 (d) ₹24
4. 4.If 3 kites cost ₹39, how much do 4 kites cost? (a) ₹40 (b) ₹65 (c) ₹52 (d) ₹156
5. 5.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹16 (b) ₹96 (c) ₹88 (d) ₹80
6. 6.If 4 mangoes cost ₹56, how much do 5 mangoes cost? (a) ₹280 (b) ₹84 (c) ₹57 (d) ₹70
7. 7.6 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 10 days (b) 2 days (c) 8 days (d) 3 days
8. 8.If 6 kites cost ₹108, how much do 3 kites cost? (a) ₹72 (b) ₹324 (c) ₹54 (d) ₹105
9. 9.₹624 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹384 (b) ₹240 (c) ₹312 (d) ₹48
10. 10.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 8 days (c) 6 days (d) 9 days
11. 11.If 3 pens cost ₹30, how much do 11 pens cost? (a) ₹110 (b) ₹38 (c) ₹120 (d) ₹330
12. 12.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 40 days (d) 39 days
13. 13.If 3 pens cost ₹15, how much do 4 pens cost? (a) ₹60 (b) ₹20 (c) ₹16 (d) ₹25
14. 14.If 3 notebooks cost ₹9, how much do 4 notebooks cost? (a) ₹36 (b) ₹15 (c) ₹12 (d) ₹10
15. 15.₹182 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹91 (b) ₹26 (c) ₹156 (d) ₹182
16. 16.If 4 pens cost ₹72, how much do 12 pens cost? (a) ₹216 (b) ₹234 (c) ₹80 (d) ₹864
17. 17.₹245 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹49 (b) ₹196 (c) ₹98 (d) ₹147
18. 18.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 9 days (d) 13 days
19. 19.If 5 mangoes cost ₹35, how much do 2 mangoes cost? (a) ₹32 (b) ₹70 (c) ₹14 (d) ₹21
20. 20.₹190 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹114 (b) ₹95 (c) ₹76 (d) ₹38
21. 21.If 8 notebooks cost ₹128, how much do 10 notebooks cost? (a) ₹176 (b) ₹130 (c) ₹160 (d) ₹1280
22. 22.If 2 mangoes cost ₹8, how much do 10 mangoes cost? (a) ₹80 (b) ₹16 (c) ₹40 (d) ₹44
23. 23.₹99 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹89 (b) ₹88 (c) ₹11 (d) ₹99
24. 24.₹470 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹423 (b) ₹235 (c) ₹47 (d) ₹470
25. 25.If 2 pens cost ₹44, how much do 11 pens cost? (a) ₹242 (b) ₹264 (c) ₹53 (d) ₹484
26. 26.₹400 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹400 (b) ₹50 (c) ₹200 (d) ₹350
27. 27.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 3 days (d) 4 days
28. 28.₹63 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹9 (b) ₹54 (c) ₹63 (d) ₹55
29. 29.₹481 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹185 (b) ₹37 (c) ₹296 (d) ₹333
30. 30.8 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 14 days (d) 9 days
31. 31.₹110 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹22 (b) ₹44 (c) ₹55 (d) ₹66
32. 32.₹319 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹145 (b) ₹203 (c) ₹174 (d) ₹29
33. 33.3 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 17 days
34. 34.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 5 days (c) 4 days (d) 16 days
35. 35.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 35 days (c) 36 days (d) 19 days
36. 36.₹152 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹152 (b) ₹76 (c) ₹133 (d) ₹19
37. 37.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 27 days (b) 11 days (c) 19 days (d) 28 days
38. 38.If 3 mangoes cost ₹60, how much do 5 mangoes cost? (a) ₹62 (b) ₹100 (c) ₹300 (d) ₹120
39. 39.₹294 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹147 (b) ₹294 (c) ₹49 (d) ₹245
40. 40.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 9 days (d) 8 days

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