Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 589 · 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 7 kites cost ₹133, how much do 12 kites cost? (a) ₹138 (b) ₹247 (c) ₹228 (d) ₹1596
2. 2.₹222 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹37 (b) ₹185 (c) ₹111 (d) ₹222
3. 3.If 8 mangoes cost ₹56, how much do 7 mangoes cost? (a) ₹49 (b) ₹56 (c) ₹392 (d) ₹55
4. 4.If 3 kites cost ₹15, how much do 6 kites cost? (a) ₹18 (b) ₹30 (c) ₹35 (d) ₹90
5. 5.₹611 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹235 (b) ₹376 (c) ₹47 (d) ₹423
6. 6.₹300 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹25 (b) ₹125 (c) ₹175 (d) ₹150
7. 7.If 4 pens cost ₹44, how much do 2 pens cost? (a) ₹33 (b) ₹88 (c) ₹22 (d) ₹42
8. 8.₹72 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹12 (b) ₹60 (c) ₹72 (d) ₹36
9. 9.₹287 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹246 (b) ₹287 (c) ₹41 (d) ₹247
10. 10.₹363 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹33 (b) ₹297 (c) ₹264 (d) ₹99
11. 11.If 6 kites cost ₹48, how much do 7 kites cost? (a) ₹49 (b) ₹64 (c) ₹336 (d) ₹56
12. 12.If 2 notebooks cost ₹32, how much do 3 notebooks cost? (a) ₹64 (b) ₹96 (c) ₹48 (d) ₹33
13. 13.₹150 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹150 (b) ₹75 (c) ₹135 (d) ₹15
14. 14.If 9 mangoes cost ₹36, how much do 2 mangoes cost? (a) ₹72 (b) ₹12 (c) ₹29 (d) ₹8
15. 15.If 5 mangoes cost ₹100, how much do 9 mangoes cost? (a) ₹900 (b) ₹180 (c) ₹200 (d) ₹104
16. 16.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 1 day (b) 11 days (c) 3 days (d) 12 days
17. 17.If 6 notebooks cost ₹72, how much do 9 notebooks cost? (a) ₹648 (b) ₹108 (c) ₹75 (d) ₹120
18. 18.9 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 18 days (c) 17 days (d) 19 days
19. 19.If 5 mangoes cost ₹105, how much do 4 mangoes cost? (a) ₹105 (b) ₹104 (c) ₹84 (d) ₹420
20. 20.₹380 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹380 (b) ₹38 (c) ₹342 (d) ₹190
21. 21.If 7 mangoes cost ₹70, how much do 9 mangoes cost? (a) ₹100 (b) ₹72 (c) ₹90 (d) ₹630
22. 22.If 3 notebooks cost ₹54, how much do 12 notebooks cost? (a) ₹648 (b) ₹63 (c) ₹234 (d) ₹216
23. 23.₹273 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹105 (b) ₹189 (c) ₹168 (d) ₹21
24. 24.6 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 12 days (b) 15 days (c) 13 days (d) 11 days
25. 25.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹36 (b) ₹45 (c) ₹27 (d) ₹9
26. 26.If 3 pens cost ₹12, how much do 10 pens cost? (a) ₹44 (b) ₹120 (c) ₹40 (d) ₹19
27. 27.If 2 mangoes cost ₹16, how much do 10 mangoes cost? (a) ₹24 (b) ₹80 (c) ₹160 (d) ₹88
28. 28.If 3 pens cost ₹45, how much do 2 pens cost? (a) ₹30 (b) ₹45 (c) ₹44 (d) ₹90
29. 29.₹238 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹153 (b) ₹119 (c) ₹17 (d) ₹85
30. 30.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 9 days (c) 4 days (d) 6 days
31. 31.If 9 pens cost ₹90, how much do 6 pens cost? (a) ₹60 (b) ₹540 (c) ₹87 (d) ₹70
32. 32.If 6 kites cost ₹96, how much do 2 kites cost? (a) ₹192 (b) ₹92 (c) ₹32 (d) ₹48
33. 33.₹77 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹21 (b) ₹7 (c) ₹63 (d) ₹56
34. 34.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 15 days (c) 14 days (d) 9 days
35. 35.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 19 days (c) 2 days (d) 18 days
36. 36.If 5 mangoes cost ₹125, how much do 7 mangoes cost? (a) ₹127 (b) ₹875 (c) ₹200 (d) ₹175
37. 37.₹80 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹20 (b) ₹60 (c) ₹80 (d) ₹40
38. 38.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 19 days (d) 49 days
39. 39.₹270 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹210 (b) ₹60 (c) ₹30 (d) ₹135
40. 40.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹45 (b) ₹20 (c) ₹70 (d) ₹10

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