Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 482 · 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 2 kites cost ₹48, how much do 7 kites cost? (a) ₹168 (b) ₹53 (c) ₹192 (d) ₹336
2. 2.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 11 days (c) 21 days (d) 22 days
3. 3.If 3 notebooks cost ₹33, how much do 4 notebooks cost? (a) ₹44 (b) ₹55 (c) ₹34 (d) ₹132
4. 4.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 15 days (c) 4 days (d) 14 days
5. 5.If 4 kites cost ₹68, how much do 5 kites cost? (a) ₹102 (b) ₹340 (c) ₹69 (d) ₹85
6. 6.₹252 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹252 (b) ₹28 (c) ₹224 (d) ₹126
7. 7.If 7 mangoes cost ₹98, how much do 5 mangoes cost? (a) ₹84 (b) ₹490 (c) ₹96 (d) ₹70
8. 8.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 15 days (c) 27 days (d) 3 days
9. 9.6 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 7 days (b) 24 days (c) 18 days (d) 6 days
10. 10.If 2 notebooks cost ₹22, how much do 9 notebooks cost? (a) ₹29 (b) ₹110 (c) ₹99 (d) ₹198
11. 11.₹650 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹250 (b) ₹400 (c) ₹50 (d) ₹325
12. 12.₹25 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹5 (b) ₹21 (c) ₹25 (d) ₹20
13. 13.If 6 kites cost ₹54, how much do 9 kites cost? (a) ₹90 (b) ₹81 (c) ₹486 (d) ₹57
14. 14.₹330 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹120 (b) ₹30 (c) ₹210 (d) ₹165
15. 15.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 7 days (c) 15 days (d) 34 days
16. 16.If 9 mangoes cost ₹189, how much do 10 mangoes cost? (a) ₹1890 (b) ₹210 (c) ₹190 (d) ₹231
17. 17.If 8 pens cost ₹80, how much do 2 pens cost? (a) ₹20 (b) ₹160 (c) ₹30 (d) ₹74
18. 18.If 2 notebooks cost ₹44, how much do 11 notebooks cost? (a) ₹53 (b) ₹264 (c) ₹242 (d) ₹484
19. 19.₹588 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹378 (b) ₹294 (c) ₹210 (d) ₹42
20. 20.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 9 days (c) 15 days (d) 5 days
21. 21.₹98 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹98 (b) ₹84 (c) ₹14 (d) ₹49
22. 22.If 3 pens cost ₹57, how much do 2 pens cost? (a) ₹56 (b) ₹114 (c) ₹38 (d) ₹57
23. 23.If 2 pens cost ₹36, how much do 6 pens cost? (a) ₹216 (b) ₹108 (c) ₹40 (d) ₹126
24. 24.If 8 kites cost ₹160, how much do 12 kites cost? (a) ₹260 (b) ₹164 (c) ₹240 (d) ₹1920
25. 25.If 5 kites cost ₹30, how much do 2 kites cost? (a) ₹12 (b) ₹18 (c) ₹60 (d) ₹27
26. 26.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 2 days (d) 3 days
27. 27.₹105 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹45 (b) ₹15 (c) ₹75 (d) ₹60
28. 28.If 6 notebooks cost ₹132, how much do 8 notebooks cost? (a) ₹134 (b) ₹198 (c) ₹1056 (d) ₹176
29. 29.If 5 pens cost ₹15, how much do 3 pens cost? (a) ₹12 (b) ₹45 (c) ₹13 (d) ₹9
30. 30.9 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 18 days (d) 15 days
31. 31.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 32 days (b) 14 days (c) 2 days (d) 33 days
32. 32.If 2 mangoes cost ₹50, how much do 3 mangoes cost? (a) ₹51 (b) ₹100 (c) ₹75 (d) ₹150
33. 33.If 3 notebooks cost ₹54, how much do 6 notebooks cost? (a) ₹108 (b) ₹324 (c) ₹57 (d) ₹126
34. 34.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 9 days (d) 8 days
35. 35.8 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 10 days (c) 4 days (d) 9 days
36. 36.If 2 pens cost ₹8, how much do 7 pens cost? (a) ₹32 (b) ₹28 (c) ₹13 (d) ₹56
37. 37.If 5 mangoes cost ₹95, how much do 6 mangoes cost? (a) ₹114 (b) ₹96 (c) ₹133 (d) ₹570
38. 38.If 6 mangoes cost ₹126, how much do 2 mangoes cost? (a) ₹122 (b) ₹42 (c) ₹252 (d) ₹63
39. 39.6 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 30 days (b) 31 days (c) 14 days (d) 6 days
40. 40.3 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 17 days (c) 11 days (d) 28 days

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