Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 346 · 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.₹490 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹175 (b) ₹315 (c) ₹245 (d) ₹35
2. 2.If 9 notebooks cost ₹27, how much do 7 notebooks cost? (a) ₹24 (b) ₹21 (c) ₹25 (d) ₹189
3. 3.If 6 mangoes cost ₹84, how much do 3 mangoes cost? (a) ₹56 (b) ₹252 (c) ₹81 (d) ₹42
4. 4.If 3 kites cost ₹66, how much do 4 kites cost? (a) ₹264 (b) ₹110 (c) ₹67 (d) ₹88
5. 5.₹288 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹240 (b) ₹48 (c) ₹144 (d) ₹288
6. 6.₹637 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹441 (b) ₹392 (c) ₹49 (d) ₹245
7. 7.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 19 days (c) 4 days (d) 49 days
8. 8.If 5 mangoes cost ₹45, how much do 11 mangoes cost? (a) ₹108 (b) ₹99 (c) ₹51 (d) ₹495
9. 9.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 17 days (b) 6 days (c) 4 days (d) 5 days
10. 10.4 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 14 days (d) 18 days
11. 11.If 3 pens cost ₹48, how much do 11 pens cost? (a) ₹56 (b) ₹192 (c) ₹528 (d) ₹176
12. 12.If 8 mangoes cost ₹200, how much do 9 mangoes cost? (a) ₹201 (b) ₹1800 (c) ₹250 (d) ₹225
13. 13.If 2 pens cost ₹30, how much do 9 pens cost? (a) ₹150 (b) ₹37 (c) ₹270 (d) ₹135
14. 14.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 22 days (c) 1 day (d) 21 days
15. 15.₹230 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹207 (b) ₹115 (c) ₹230 (d) ₹23
16. 16.If 5 mangoes cost ₹50, how much do 11 mangoes cost? (a) ₹120 (b) ₹110 (c) ₹56 (d) ₹550
17. 17.If 2 pens cost ₹28, how much do 4 pens cost? (a) ₹112 (b) ₹56 (c) ₹70 (d) ₹30
18. 18.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 8 days (d) 10 days
19. 19.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 1 day (c) 6 days (d) 8 days
20. 20.₹132 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹66 (b) ₹12 (c) ₹72 (d) ₹60
21. 21.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 15 days (b) 20 days (c) 6 days (d) 5 days
22. 22.If 7 pens cost ₹70, how much do 5 pens cost? (a) ₹68 (b) ₹50 (c) ₹60 (d) ₹350
23. 23.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 26 days (c) 27 days (d) 15 days
24. 24.₹546 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹42 (b) ₹336 (c) ₹273 (d) ₹210
25. 25.If 8 pens cost ₹64, how much do 10 pens cost? (a) ₹88 (b) ₹66 (c) ₹640 (d) ₹80
26. 26.₹451 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹328 (b) ₹369 (c) ₹41 (d) ₹123
27. 27.If 9 notebooks cost ₹225, how much do 8 notebooks cost? (a) ₹1800 (b) ₹200 (c) ₹224 (d) ₹225
28. 28.₹189 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹27 (b) ₹162 (c) ₹135 (d) ₹54
29. 29.If 9 pens cost ₹171, how much do 10 pens cost? (a) ₹1710 (b) ₹209 (c) ₹172 (d) ₹190
30. 30.₹243 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹162 (b) ₹108 (c) ₹27 (d) ₹135
31. 31.If 4 kites cost ₹24, how much do 5 kites cost? (a) ₹30 (b) ₹25 (c) ₹120 (d) ₹36
32. 32.₹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
33. 33.₹396 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹198 (b) ₹72 (c) ₹36 (d) ₹324
34. 34.₹392 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹28 (b) ₹252 (c) ₹196 (d) ₹140
35. 35.₹322 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹23 (b) ₹161 (c) ₹207 (d) ₹115
36. 36.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 48 days (b) 21 days (c) 4 days (d) 3 days
37. 37.₹77 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹33 (b) ₹11 (c) ₹55 (d) ₹44
38. 38.₹585 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹360 (b) ₹405 (c) ₹45 (d) ₹225
39. 39.₹528 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹192 (b) ₹48 (c) ₹264 (d) ₹336
40. 40.If 7 kites cost ₹35, how much do 2 kites cost? (a) ₹10 (b) ₹70 (c) ₹30 (d) ₹15

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