Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 261 · 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.₹468 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹195 (b) ₹39 (c) ₹273 (d) ₹234
2. 2.If 3 pens cost ₹42, how much do 6 pens cost? (a) ₹45 (b) ₹252 (c) ₹98 (d) ₹84
3. 3.If 3 kites cost ₹63, how much do 10 kites cost? (a) ₹630 (b) ₹231 (c) ₹70 (d) ₹210
4. 4.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 12 days (d) 9 days
5. 5.8 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 40 days (c) 10 days (d) 41 days
6. 6.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 26 days (b) 17 days (c) 27 days (d) 9 days
7. 7.9 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 45 days (b) 46 days (c) 3 days (d) 17 days
8. 8.If 3 kites cost ₹66, how much do 8 kites cost? (a) ₹71 (b) ₹528 (c) ₹176 (d) ₹198
9. 9.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 22 days (c) 21 days (d) 9 days
10. 10.If 6 kites cost ₹66, how much do 2 kites cost? (a) ₹22 (b) ₹33 (c) ₹62 (d) ₹132
11. 11.₹329 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹94 (b) ₹282 (c) ₹47 (d) ₹235
12. 12.₹196 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹98 (b) ₹112 (c) ₹84 (d) ₹28
13. 13.If 7 pens cost ₹168, how much do 10 pens cost? (a) ₹1680 (b) ₹171 (c) ₹264 (d) ₹240
14. 14.6 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 14 days (b) 6 days (c) 5 days (d) 7 days
15. 15.₹110 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹33 (b) ₹77 (c) ₹11 (d) ₹55
16. 16.If 7 notebooks cost ₹77, how much do 2 notebooks cost? (a) ₹72 (b) ₹154 (c) ₹22 (d) ₹33
17. 17.8 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 24 days (c) 16 days (d) 6 days
18. 18.If 4 mangoes cost ₹12, how much do 10 mangoes cost? (a) ₹18 (b) ₹33 (c) ₹120 (d) ₹30
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) 8 days (c) 6 days (d) 1 day
20. 20.₹45 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹45 (b) ₹9 (c) ₹36 (d) ₹37
21. 21.₹234 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹195 (b) ₹39 (c) ₹117 (d) ₹234
22. 22.₹32 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹16 (b) ₹32 (c) ₹24 (d) ₹8
23. 23.₹80 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹64 (b) ₹80 (c) ₹16 (d) ₹40
24. 24.If 5 pens cost ₹70, how much do 6 pens cost? (a) ₹71 (b) ₹420 (c) ₹98 (d) ₹84
25. 25.₹504 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹252 (b) ₹42 (c) ₹210 (d) ₹294
26. 26.6 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 19 days (c) 6 days (d) 18 days
27. 27.₹460 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹46 (b) ₹322 (c) ₹138 (d) ₹230
28. 28.If 5 pens cost ₹40, how much do 6 pens cost? (a) ₹41 (b) ₹240 (c) ₹56 (d) ₹48
29. 29.If 5 notebooks cost ₹80, how much do 11 notebooks cost? (a) ₹192 (b) ₹86 (c) ₹880 (d) ₹176
30. 30.If 3 kites cost ₹51, how much do 9 kites cost? (a) ₹170 (b) ₹153 (c) ₹57 (d) ₹459
31. 31.If 8 mangoes cost ₹96, how much do 2 mangoes cost? (a) ₹192 (b) ₹36 (c) ₹24 (d) ₹90
32. 32.If 7 notebooks cost ₹112, how much do 4 notebooks cost? (a) ₹64 (b) ₹448 (c) ₹109 (d) ₹80
33. 33.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 1 day (b) 8 days (c) 3 days (d) 2 days
34. 34.If 9 pens cost ₹63, how much do 5 pens cost? (a) ₹315 (b) ₹35 (c) ₹42 (d) ₹59
35. 35.₹112 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹14 (b) ₹56 (c) ₹98 (d) ₹112
36. 36.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 18 days (b) 10 days (c) 6 days (d) 7 days
37. 37.If 2 notebooks cost ₹36, how much do 9 notebooks cost? (a) ₹162 (b) ₹180 (c) ₹43 (d) ₹324
38. 38.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 3 days (c) 12 days (d) 4 days
39. 39.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 12 days (c) 9 days (d) 7 days
40. 40.If 6 kites cost ₹30, how much do 8 kites cost? (a) ₹32 (b) ₹40 (c) ₹45 (d) ₹240

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