Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 664 · 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 9 pens cost ₹207, how much do 10 pens cost? (a) ₹2070 (b) ₹253 (c) ₹230 (d) ₹208
2. 2.If 7 kites cost ₹42, how much do 9 kites cost? (a) ₹54 (b) ₹44 (c) ₹60 (d) ₹378
3. 3.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 34 days (b) 5 days (c) 33 days (d) 17 days
4. 4.₹90 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹27 (b) ₹45 (c) ₹63 (d) ₹9
5. 5.If 7 kites cost ₹98, how much do 2 kites cost? (a) ₹28 (b) ₹93 (c) ₹196 (d) ₹42
6. 6.₹171 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹171 (b) ₹153 (c) ₹152 (d) ₹19
7. 7.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 21 days (b) 9 days (c) 5 days (d) 45 days
8. 8.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 6 days (c) 8 days (d) 7 days
9. 9.If 3 notebooks cost ₹66, how much do 5 notebooks cost? (a) ₹330 (b) ₹68 (c) ₹132 (d) ₹110
10. 10.If 7 pens cost ₹168, how much do 4 pens cost? (a) ₹165 (b) ₹120 (c) ₹96 (d) ₹672
11. 11.If 4 kites cost ₹24, how much do 8 kites cost? (a) ₹48 (b) ₹28 (c) ₹192 (d) ₹54
12. 12.If 8 pens cost ₹32, how much do 3 pens cost? (a) ₹16 (b) ₹12 (c) ₹96 (d) ₹27
13. 13.If 8 notebooks cost ₹160, how much do 2 notebooks cost? (a) ₹40 (b) ₹60 (c) ₹320 (d) ₹154
14. 14.If 8 pens cost ₹56, how much do 6 pens cost? (a) ₹54 (b) ₹49 (c) ₹42 (d) ₹336
15. 15.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 22 days (b) 17 days (c) 13 days (d) 21 days
16. 16.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 4 days (d) 2 days
17. 17.If 7 mangoes cost ₹168, how much do 8 mangoes cost? (a) ₹192 (b) ₹216 (c) ₹1344 (d) ₹169
18. 18.4 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 18 days (c) 3 days (d) 14 days
19. 19.₹468 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹195 (b) ₹234 (c) ₹273 (d) ₹39
20. 20.₹154 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹42 (b) ₹77 (c) ₹112 (d) ₹14
21. 21.If 7 kites cost ₹154, how much do 9 kites cost? (a) ₹198 (b) ₹220 (c) ₹156 (d) ₹1386
22. 22.If 4 pens cost ₹92, how much do 7 pens cost? (a) ₹95 (b) ₹644 (c) ₹161 (d) ₹184
23. 23.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 7 days (c) 2 days (d) 8 days
24. 24.If 3 kites cost ₹9, how much do 4 kites cost? (a) ₹12 (b) ₹36 (c) ₹15 (d) ₹10
25. 25.₹224 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹112 (b) ₹28 (c) ₹84 (d) ₹140
26. 26.If 2 kites cost ₹6, how much do 10 kites cost? (a) ₹60 (b) ₹14 (c) ₹33 (d) ₹30
27. 27.₹517 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹47 (b) ₹235 (c) ₹329 (d) ₹282
28. 28.₹280 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹40 (b) ₹160 (c) ₹140 (d) ₹120
29. 29.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 25 days (b) 13 days (c) 17 days (d) 9 days
30. 30.₹217 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹62 (b) ₹31 (c) ₹155 (d) ₹186
31. 31.3 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 9 days (c) 5 days (d) 7 days
32. 32.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 4 days (c) 10 days (d) 11 days
33. 33.If 7 mangoes cost ₹35, how much do 3 mangoes cost? (a) ₹31 (b) ₹15 (c) ₹20 (d) ₹105
34. 34.If 6 notebooks cost ₹24, how much do 7 notebooks cost? (a) ₹25 (b) ₹28 (c) ₹32 (d) ₹168
35. 35.If 6 pens cost ₹66, how much do 10 pens cost? (a) ₹121 (b) ₹70 (c) ₹110 (d) ₹660
36. 36.If 8 notebooks cost ₹72, how much do 3 notebooks cost? (a) ₹216 (b) ₹67 (c) ₹36 (d) ₹27
37. 37.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 3 days (d) 5 days
38. 38.7 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 13 days (b) 6 days (c) 7 days (d) 8 days
39. 39.If 2 kites cost ₹16, how much do 11 kites cost? (a) ₹25 (b) ₹96 (c) ₹176 (d) ₹88
40. 40.If 7 mangoes cost ₹49, how much do 8 mangoes cost? (a) ₹63 (b) ₹50 (c) ₹56 (d) ₹392

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