Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 808 · 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 6 mangoes cost ₹138, how much do 4 mangoes cost? (a) ₹552 (b) ₹92 (c) ₹115 (d) ₹136
2. 2.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 2 days (c) 33 days (d) 32 days
3. 3.If 7 kites cost ₹133, how much do 4 kites cost? (a) ₹95 (b) ₹130 (c) ₹532 (d) ₹76
4. 4.If 2 notebooks cost ₹44, how much do 4 notebooks cost? (a) ₹176 (b) ₹110 (c) ₹88 (d) ₹46
5. 5.If 7 notebooks cost ₹168, how much do 8 notebooks cost? (a) ₹169 (b) ₹1344 (c) ₹216 (d) ₹192
6. 6.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 12 days (c) 2 days (d) 3 days
7. 7.₹282 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹47 (b) ₹141 (c) ₹282 (d) ₹235
8. 8.If 3 pens cost ₹39, how much do 12 pens cost? (a) ₹468 (b) ₹169 (c) ₹156 (d) ₹48
9. 9.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 35 days (c) 17 days (d) 11 days
10. 10.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 3 days (d) 8 days
11. 11.If 9 mangoes cost ₹171, how much do 11 mangoes cost? (a) ₹173 (b) ₹1881 (c) ₹228 (d) ₹209
12. 12.If 7 kites cost ₹91, how much do 3 kites cost? (a) ₹273 (b) ₹39 (c) ₹87 (d) ₹52
13. 13.If 8 kites cost ₹48, how much do 7 kites cost? (a) ₹42 (b) ₹48 (c) ₹336 (d) ₹47
14. 14.₹240 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹168 (b) ₹72 (c) ₹120 (d) ₹24
15. 15.₹112 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹16 (b) ₹56 (c) ₹112 (d) ₹96
16. 16.If 3 kites cost ₹30, how much do 4 kites cost? (a) ₹50 (b) ₹40 (c) ₹31 (d) ₹120
17. 17.₹325 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹200 (b) ₹25 (c) ₹225 (d) ₹125
18. 18.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹20 (b) ₹45 (c) ₹70 (d) ₹10
19. 19.If 5 notebooks cost ₹80, how much do 3 notebooks cost? (a) ₹48 (b) ₹64 (c) ₹240 (d) ₹78
20. 20.If 7 pens cost ₹161, how much do 8 pens cost? (a) ₹1288 (b) ₹207 (c) ₹184 (d) ₹162
21. 21.If 3 pens cost ₹60, how much do 6 pens cost? (a) ₹120 (b) ₹140 (c) ₹360 (d) ₹63
22. 22.If 5 pens cost ₹110, how much do 6 pens cost? (a) ₹132 (b) ₹660 (c) ₹111 (d) ₹154
23. 23.₹308 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹56 (b) ₹154 (c) ₹252 (d) ₹28
24. 24.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 18 days (d) 12 days
25. 25.If 7 notebooks cost ₹91, how much do 8 notebooks cost? (a) ₹728 (b) ₹92 (c) ₹104 (d) ₹117
26. 26.₹81 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹9 (b) ₹72 (c) ₹81 (d) ₹73
27. 27.₹44 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹44 (b) ₹33 (c) ₹22 (d) ₹11
28. 28.6 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 5 days (c) 16 days (d) 4 days
29. 29.₹45 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹37 (b) ₹9 (c) ₹45 (d) ₹36
30. 30.4 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 14 days (d) 12 days
31. 31.₹49 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹35 (b) ₹28 (c) ₹21 (d) ₹7
32. 32.If 7 notebooks cost ₹21, how much do 6 notebooks cost? (a) ₹126 (b) ₹21 (c) ₹18 (d) ₹20
33. 33.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 16 days (d) 11 days
34. 34.4 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 16 days (b) 5 days (c) 4 days (d) 25 days
35. 35.If 4 pens cost ₹92, how much do 12 pens cost? (a) ₹100 (b) ₹299 (c) ₹1104 (d) ₹276
36. 36.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 14 days (c) 15 days (d) 8 days
37. 37.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 27 days (b) 28 days (c) 15 days (d) 3 days
38. 38.If 2 pens cost ₹10, how much do 3 pens cost? (a) ₹20 (b) ₹11 (c) ₹30 (d) ₹15
39. 39.₹216 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹126 (b) ₹90 (c) ₹108 (d) ₹18
40. 40.If 8 mangoes cost ₹128, how much do 7 mangoes cost? (a) ₹112 (b) ₹127 (c) ₹128 (d) ₹896

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