Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 985 · 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 ₹126, how much do 5 mangoes cost? (a) ₹126 (b) ₹125 (c) ₹105 (d) ₹630
2. 2.9 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) 8 days (d) 10 days
3. 3.₹238 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹34 (b) ₹102 (c) ₹119 (d) ₹136
4. 4.If 8 kites cost ₹192, how much do 5 kites cost? (a) ₹960 (b) ₹120 (c) ₹189 (d) ₹144
5. 5.₹336 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹24 (b) ₹120 (c) ₹168 (d) ₹216
6. 6.If 2 mangoes cost ₹38, how much do 7 mangoes cost? (a) ₹152 (b) ₹266 (c) ₹43 (d) ₹133
7. 7.If 7 mangoes cost ₹112, how much do 5 mangoes cost? (a) ₹80 (b) ₹96 (c) ₹110 (d) ₹560
8. 8.If 2 kites cost ₹10, how much do 9 kites cost? (a) ₹17 (b) ₹50 (c) ₹90 (d) ₹45
9. 9.₹32 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹16 (b) ₹24 (c) ₹32 (d) ₹8
10. 10.If 5 pens cost ₹80, how much do 6 pens cost? (a) ₹81 (b) ₹480 (c) ₹112 (d) ₹96
11. 11.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 14 days (d) 20 days
12. 12.If 8 notebooks cost ₹128, how much do 2 notebooks cost? (a) ₹48 (b) ₹32 (c) ₹122 (d) ₹256
13. 13.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 18 days (d) 8 days
14. 14.₹77 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹44 (b) ₹55 (c) ₹33 (d) ₹11
15. 15.If 2 kites cost ₹26, how much do 6 kites cost? (a) ₹30 (b) ₹91 (c) ₹156 (d) ₹78
16. 16.₹539 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹49 (b) ₹98 (c) ₹490 (d) ₹441
17. 17.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 2 days (d) 3 days
18. 18.5 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 4 days (d) 5 days
19. 19.₹441 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹245 (b) ₹49 (c) ₹294 (d) ₹196
20. 20.If 3 kites cost ₹33, how much do 8 kites cost? (a) ₹264 (b) ₹38 (c) ₹88 (d) ₹99
21. 21.If 2 kites cost ₹8, how much do 9 kites cost? (a) ₹15 (b) ₹72 (c) ₹40 (d) ₹36
22. 22.If 7 mangoes cost ₹77, how much do 4 mangoes cost? (a) ₹44 (b) ₹74 (c) ₹55 (d) ₹308
23. 23.If 6 kites cost ₹48, how much do 2 kites cost? (a) ₹96 (b) ₹16 (c) ₹24 (d) ₹44
24. 24.9 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 17 days (b) 11 days (c) 22 days (d) 21 days
25. 25.₹243 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹108 (b) ₹27 (c) ₹135 (d) ₹162
26. 26.₹290 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹87 (b) ₹203 (c) ₹145 (d) ₹29
27. 27.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 7 days (d) 9 days
28. 28.₹286 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹182 (b) ₹143 (c) ₹104 (d) ₹26
29. 29.If 2 pens cost ₹6, how much do 4 pens cost? (a) ₹8 (b) ₹24 (c) ₹15 (d) ₹12
30. 30.If 6 mangoes cost ₹126, how much do 8 mangoes cost? (a) ₹128 (b) ₹189 (c) ₹1008 (d) ₹168
31. 31.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 10 days (c) 5 days (d) 3 days
32. 32.If 3 kites cost ₹9, how much do 4 kites cost? (a) ₹36 (b) ₹10 (c) ₹15 (d) ₹12
33. 33.If 3 pens cost ₹33, how much do 8 pens cost? (a) ₹264 (b) ₹38 (c) ₹88 (d) ₹99
34. 34.If 4 notebooks cost ₹28, how much do 7 notebooks cost? (a) ₹196 (b) ₹56 (c) ₹49 (d) ₹31
35. 35.If 2 notebooks cost ₹38, how much do 3 notebooks cost? (a) ₹39 (b) ₹114 (c) ₹57 (d) ₹76
36. 36.9 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 13 days (d) 9 days
37. 37.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 5 days (c) 9 days (d) 14 days
38. 38.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 15 days (d) 20 days
39. 39.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 35 days (c) 11 days (d) 36 days
40. 40.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 16 days (d) 10 days

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