Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 666 · 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 ₹28, how much do 7 kites cost? (a) ₹112 (b) ₹196 (c) ₹98 (d) ₹33
2. 2.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹72 (b) ₹8 (c) ₹40 (d) ₹56
3. 3.₹392 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹196 (b) ₹49 (c) ₹147 (d) ₹245
4. 4.If 7 mangoes cost ₹91, how much do 2 mangoes cost? (a) ₹26 (b) ₹86 (c) ₹182 (d) ₹39
5. 5.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 4 days (d) 15 days
6. 6.If 4 kites cost ₹80, how much do 7 kites cost? (a) ₹140 (b) ₹160 (c) ₹560 (d) ₹83
7. 7.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 5 days (c) 11 days (d) 14 days
8. 8.If 6 notebooks cost ₹36, how much do 7 notebooks cost? (a) ₹37 (b) ₹48 (c) ₹252 (d) ₹42
9. 9.6 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 13 days (c) 7 days (d) 5 days
10. 10.If 5 mangoes cost ₹35, how much do 6 mangoes cost? (a) ₹36 (b) ₹42 (c) ₹210 (d) ₹49
11. 11.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 27 days (c) 15 days (d) 4 days
12. 12.₹559 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹387 (b) ₹430 (c) ₹172 (d) ₹43
13. 13.₹341 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹279 (b) ₹31 (c) ₹248 (d) ₹93
14. 14.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 8 days (c) 6 days (d) 7 days
15. 15.If 4 mangoes cost ₹32, how much do 11 mangoes cost? (a) ₹96 (b) ₹352 (c) ₹88 (d) ₹39
16. 16.If 5 pens cost ₹120, how much do 4 pens cost? (a) ₹480 (b) ₹120 (c) ₹96 (d) ₹119
17. 17.9 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 13 days (c) 11 days (d) 12 days
18. 18.5 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
19. 19.₹396 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹180 (b) ₹216 (c) ₹36 (d) ₹198
20. 20.₹528 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹264 (b) ₹96 (c) ₹48 (d) ₹432
21. 21.If 8 notebooks cost ₹96, how much do 12 notebooks cost? (a) ₹144 (b) ₹156 (c) ₹100 (d) ₹1152
22. 22.6 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 2 days (c) 11 days (d) 8 days
23. 23.₹209 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹133 (b) ₹114 (c) ₹95 (d) ₹19
24. 24.₹99 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹99 (b) ₹67 (c) ₹33 (d) ₹66
25. 25.₹462 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹168 (b) ₹42 (c) ₹294 (d) ₹231
26. 26.If 3 notebooks cost ₹57, how much do 11 notebooks cost? (a) ₹228 (b) ₹65 (c) ₹627 (d) ₹209
27. 27.If 5 kites cost ₹65, how much do 6 kites cost? (a) ₹91 (b) ₹66 (c) ₹390 (d) ₹78
28. 28.₹96 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹32 (b) ₹64 (c) ₹48 (d) ₹96
29. 29.If 8 pens cost ₹88, how much do 11 pens cost? (a) ₹91 (b) ₹132 (c) ₹121 (d) ₹968
30. 30.If 8 kites cost ₹64, how much do 9 kites cost? (a) ₹576 (b) ₹65 (c) ₹80 (d) ₹72
31. 31.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 26 days (b) 10 days (c) 16 days (d) 27 days
32. 32.6 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 13 days (c) 12 days (d) 9 days
33. 33.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 40 days (b) 4 days (c) 41 days (d) 16 days
34. 34.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 34 days (c) 17 days (d) 33 days
35. 35.If 8 notebooks cost ₹48, how much do 9 notebooks cost? (a) ₹49 (b) ₹60 (c) ₹432 (d) ₹54
36. 36.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 28 days (c) 13 days (d) 29 days
37. 37.If 4 pens cost ₹44, how much do 6 pens cost? (a) ₹66 (b) ₹46 (c) ₹264 (d) ₹77
38. 38.If 3 pens cost ₹45, how much do 7 pens cost? (a) ₹49 (b) ₹120 (c) ₹105 (d) ₹315
39. 39.₹128 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹112 (b) ₹16 (c) ₹64 (d) ₹128
40. 40.₹72 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹8 (b) ₹36 (c) ₹40 (d) ₹32

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