Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 925 · 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.₹377 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹29 (b) ₹261 (c) ₹290 (d) ₹116
2. 2.₹517 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹329 (b) ₹47 (c) ₹282 (d) ₹235
3. 3.If 7 notebooks cost ₹154, how much do 6 notebooks cost? (a) ₹132 (b) ₹153 (c) ₹924 (d) ₹154
4. 4.₹390 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹120 (b) ₹30 (c) ₹195 (d) ₹270
5. 5.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 2 days (d) 6 days
6. 6.₹65 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹13 (b) ₹52 (c) ₹39 (d) ₹26
7. 7.₹376 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹329 (b) ₹376 (c) ₹188 (d) ₹47
8. 8.₹238 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹34 (b) ₹119 (c) ₹204 (d) ₹238
9. 9.₹60 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹12 (b) ₹30 (c) ₹36 (d) ₹24
10. 10.If 6 kites cost ₹132, how much do 11 kites cost? (a) ₹137 (b) ₹264 (c) ₹242 (d) ₹1452
11. 11.If 4 mangoes cost ₹76, how much do 2 mangoes cost? (a) ₹38 (b) ₹57 (c) ₹74 (d) ₹152
12. 12.If 5 kites cost ₹60, how much do 8 kites cost? (a) ₹108 (b) ₹96 (c) ₹480 (d) ₹63
13. 13.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 25 days (c) 13 days (d) 17 days
14. 14.If 5 pens cost ₹95, how much do 2 pens cost? (a) ₹92 (b) ₹190 (c) ₹38 (d) ₹57
15. 15.₹209 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹133 (b) ₹76 (c) ₹19 (d) ₹152
16. 16.₹460 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹322 (b) ₹46 (c) ₹230 (d) ₹138
17. 17.If 2 pens cost ₹18, how much do 3 pens cost? (a) ₹36 (b) ₹54 (c) ₹19 (d) ₹27
18. 18.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 15 days (b) 8 days (c) 14 days (d) 12 days
19. 19.If 5 kites cost ₹15, how much do 12 kites cost? (a) ₹36 (b) ₹39 (c) ₹180 (d) ₹22
20. 20.If 3 kites cost ₹75, how much do 4 kites cost? (a) ₹76 (b) ₹100 (c) ₹300 (d) ₹125
21. 21.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 28 days (c) 3 days (d) 27 days
22. 22.8 workers can build a wall in 15 days. How many days will 4 workers take, working at the same speed? (a) 31 days (b) 11 days (c) 30 days (d) 19 days
23. 23.9 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 30 days (d) 31 days
24. 24.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 32 days (b) 2 days (c) 14 days (d) 33 days
25. 25.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 11 days
26. 26.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 48 days (c) 3 days (d) 6 days
27. 27.If 4 pens cost ₹24, how much do 3 pens cost? (a) ₹72 (b) ₹18 (c) ₹23 (d) ₹24
28. 28.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 28 days (c) 18 days (d) 7 days
29. 29.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 7 days (d) 3 days
30. 30.₹242 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹132 (b) ₹110 (c) ₹22 (d) ₹121
31. 31.₹308 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹110 (b) ₹154 (c) ₹198 (d) ₹22
32. 32.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 28 days (d) 27 days
33. 33.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 17 days (b) 16 days (c) 13 days (d) 15 days
34. 34.If 6 mangoes cost ₹138, how much do 2 mangoes cost? (a) ₹134 (b) ₹46 (c) ₹276 (d) ₹69
35. 35.₹300 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹175 (b) ₹25 (c) ₹150 (d) ₹125
36. 36.8 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 19 days (b) 9 days (c) 11 days (d) 10 days
37. 37.₹320 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹280 (b) ₹160 (c) ₹320 (d) ₹40
38. 38.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 4 days (d) 12 days
39. 39.₹344 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹344 (b) ₹43 (c) ₹172 (d) ₹301
40. 40.If 6 mangoes cost ₹90, how much do 3 mangoes cost? (a) ₹45 (b) ₹60 (c) ₹87 (d) ₹270

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