Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 360 · 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 3 kites cost ₹54, how much do 4 kites cost? (a) ₹55 (b) ₹216 (c) ₹72 (d) ₹90
2. 2.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 33 days (c) 32 days (d) 14 days
3. 3.If 8 notebooks cost ₹200, how much do 5 notebooks cost? (a) ₹197 (b) ₹1000 (c) ₹150 (d) ₹125
4. 4.If 5 pens cost ₹95, how much do 12 pens cost? (a) ₹1140 (b) ₹228 (c) ₹102 (d) ₹247
5. 5.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹28 (b) ₹14 (c) ₹49 (d) ₹70
6. 6.₹104 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹104 (b) ₹26 (c) ₹78 (d) ₹52
7. 7.If 4 pens cost ₹16, how much do 6 pens cost? (a) ₹28 (b) ₹18 (c) ₹24 (d) ₹96
8. 8.If 9 pens cost ₹153, how much do 6 pens cost? (a) ₹119 (b) ₹918 (c) ₹102 (d) ₹150
9. 9.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 8 days (d) 1 day
10. 10.3 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 16 days (d) 5 days
11. 11.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 3 days (d) 4 days
12. 12.If 8 pens cost ₹48, how much do 9 pens cost? (a) ₹54 (b) ₹432 (c) ₹60 (d) ₹49
13. 13.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹234 (b) ₹144 (c) ₹36 (d) ₹324
14. 14.₹150 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹15 (b) ₹75 (c) ₹150 (d) ₹135
15. 15.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 5 days (d) 4 days
16. 16.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 5 days (d) 9 days
17. 17.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 4 days (d) 9 days
18. 18.If 3 pens cost ₹36, how much do 2 pens cost? (a) ₹35 (b) ₹72 (c) ₹36 (d) ₹24
19. 19.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 4 days (d) 11 days
20. 20.If 6 mangoes cost ₹42, how much do 4 mangoes cost? (a) ₹35 (b) ₹168 (c) ₹28 (d) ₹40
21. 21.If 2 pens cost ₹16, how much do 3 pens cost? (a) ₹17 (b) ₹24 (c) ₹32 (d) ₹48
22. 22.5 workers can build a wall in 4 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 9 days (c) 2 days (d) 8 days
23. 23.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 28 days (c) 7 days (d) 18 days
24. 24.₹77 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹42 (b) ₹35 (c) ₹7 (d) ₹49
25. 25.9 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 13 days (d) 9 days
26. 26.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 12 days (b) 16 days (c) 11 days (d) 10 days
27. 27.If 8 pens cost ₹48, how much do 11 pens cost? (a) ₹72 (b) ₹528 (c) ₹66 (d) ₹51
28. 28.₹24 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹24 (b) ₹6 (c) ₹12 (d) ₹18
29. 29.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 4 days (c) 16 days (d) 6 days
30. 30.₹72 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹40 (b) ₹36 (c) ₹8 (d) ₹32
31. 31.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 14 days (c) 16 days (d) 15 days
32. 32.If 4 mangoes cost ₹92, how much do 5 mangoes cost? (a) ₹138 (b) ₹460 (c) ₹115 (d) ₹93
33. 33.If 8 pens cost ₹192, how much do 11 pens cost? (a) ₹195 (b) ₹288 (c) ₹264 (d) ₹2112
34. 34.₹296 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹37 (b) ₹111 (c) ₹185 (d) ₹148
35. 35.₹65 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹5 (b) ₹45 (c) ₹40 (d) ₹25
36. 36.If 4 kites cost ₹60, how much do 3 kites cost? (a) ₹180 (b) ₹59 (c) ₹60 (d) ₹45
37. 37.8 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 12 days (b) 13 days (c) 11 days (d) 7 days
38. 38.₹280 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹28 (b) ₹140 (c) ₹252 (d) ₹280
39. 39.If 4 notebooks cost ₹16, how much do 8 notebooks cost? (a) ₹128 (b) ₹32 (c) ₹36 (d) ₹20
40. 40.If 2 kites cost ₹16, how much do 12 kites cost? (a) ₹192 (b) ₹96 (c) ₹104 (d) ₹26

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad