Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 864 · 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 mangoes cost ₹90, how much do 6 mangoes cost? (a) ₹87 (b) ₹60 (c) ₹540 (d) ₹70
2. 2.6 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 16 days (c) 4 days (d) 11 days
3. 3.If 9 pens cost ₹72, how much do 2 pens cost? (a) ₹24 (b) ₹65 (c) ₹16 (d) ₹144
4. 4.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 5 days (c) 35 days (d) 36 days
5. 5.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 8 days (d) 4 days
6. 6.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 20 days (b) 56 days (c) 57 days (d) 8 days
7. 7.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 13 days (c) 9 days (d) 7 days
8. 8.₹440 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹44 (b) ₹132 (c) ₹220 (d) ₹308
9. 9.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 20 days (b) 5 days (c) 14 days (d) 6 days
10. 10.If 5 notebooks cost ₹55, how much do 3 notebooks cost? (a) ₹165 (b) ₹53 (c) ₹33 (d) ₹44
11. 11.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 27 days (b) 26 days (c) 16 days (d) 10 days
12. 12.7 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 2 days (c) 14 days (d) 15 days
13. 13.₹168 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹21 (b) ₹63 (c) ₹105 (d) ₹84
14. 14.If 5 mangoes cost ₹20, how much do 11 mangoes cost? (a) ₹44 (b) ₹48 (c) ₹26 (d) ₹220
15. 15.If 5 pens cost ₹50, how much do 8 pens cost? (a) ₹400 (b) ₹53 (c) ₹90 (d) ₹80
16. 16.4 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 16 days (b) 5 days (c) 4 days (d) 25 days
17. 17.If 9 kites cost ₹108, how much do 5 kites cost? (a) ₹104 (b) ₹60 (c) ₹72 (d) ₹540
18. 18.₹261 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹58 (b) ₹29 (c) ₹232 (d) ₹203
19. 19.₹330 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹30 (b) ₹180 (c) ₹165 (d) ₹150
20. 20.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 9 days (d) 10 days
21. 21.If 7 mangoes cost ₹133, how much do 12 mangoes cost? (a) ₹138 (b) ₹1596 (c) ₹247 (d) ₹228
22. 22.If 5 kites cost ₹25, how much do 6 kites cost? (a) ₹26 (b) ₹30 (c) ₹150 (d) ₹35
23. 23.₹65 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹53 (b) ₹13 (c) ₹52 (d) ₹65
24. 24.If 3 kites cost ₹48, how much do 6 kites cost? (a) ₹112 (b) ₹96 (c) ₹288 (d) ₹51
25. 25.6 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 2 days (d) 8 days
26. 26.8 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 9 days (b) 7 days (c) 8 days (d) 14 days
27. 27.4 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 13 days (c) 10 days (d) 12 days
28. 28.6 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 2 days (c) 6 days (d) 5 days
29. 29.₹198 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹99 (b) ₹18 (c) ₹108 (d) ₹90
30. 30.If 4 pens cost ₹76, how much do 3 pens cost? (a) ₹76 (b) ₹75 (c) ₹228 (d) ₹57
31. 31.If 7 notebooks cost ₹49, how much do 8 notebooks cost? (a) ₹392 (b) ₹56 (c) ₹50 (d) ₹63
32. 32.₹136 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹119 (b) ₹136 (c) ₹17 (d) ₹68
33. 33.₹99 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹67 (b) ₹33 (c) ₹66 (d) ₹99
34. 34.₹376 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹141 (b) ₹47 (c) ₹235 (d) ₹188
35. 35.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 13 days (b) 1 day (c) 2 days (d) 16 days
36. 36.9 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 7 days (d) 9 days
37. 37.If 3 mangoes cost ₹36, how much do 4 mangoes cost? (a) ₹60 (b) ₹144 (c) ₹37 (d) ₹48
38. 38.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 9 days (d) 8 days
39. 39.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 25 days (b) 4 days (c) 7 days (d) 13 days
40. 40.₹532 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹342 (b) ₹266 (c) ₹38 (d) ₹190

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