Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 540 · 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 6 kites cost ₹102, how much do 7 kites cost? (a) ₹136 (b) ₹103 (c) ₹119 (d) ₹714
2. 2.If 5 mangoes cost ₹85, how much do 6 mangoes cost? (a) ₹102 (b) ₹510 (c) ₹119 (d) ₹86
3. 3.₹308 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹220 (b) ₹154 (c) ₹88 (d) ₹44
4. 4.If 2 pens cost ₹12, how much do 7 pens cost? (a) ₹84 (b) ₹17 (c) ₹48 (d) ₹42
5. 5.₹616 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹396 (b) ₹44 (c) ₹220 (d) ₹308
6. 6.₹55 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹45 (b) ₹15 (c) ₹5 (d) ₹40
7. 7.₹259 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹185 (b) ₹37 (c) ₹111 (d) ₹148
8. 8.₹156 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹48 (b) ₹78 (c) ₹108 (d) ₹12
9. 9.If 6 mangoes cost ₹54, how much do 4 mangoes cost? (a) ₹52 (b) ₹45 (c) ₹216 (d) ₹36
10. 10.If 2 pens cost ₹28, how much do 3 pens cost? (a) ₹29 (b) ₹56 (c) ₹84 (d) ₹42
11. 11.If 2 mangoes cost ₹30, how much do 4 mangoes cost? (a) ₹32 (b) ₹75 (c) ₹60 (d) ₹120
12. 12.If 4 mangoes cost ₹80, how much do 6 mangoes cost? (a) ₹120 (b) ₹140 (c) ₹480 (d) ₹82
13. 13.If 7 notebooks cost ₹140, how much do 12 notebooks cost? (a) ₹240 (b) ₹145 (c) ₹260 (d) ₹1680
14. 14.₹224 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹96 (b) ₹112 (c) ₹32 (d) ₹128
15. 15.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 2 days (c) 8 days (d) 1 day
16. 16.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 25 days (c) 17 days (d) 13 days
17. 17.If 6 pens cost ₹66, how much do 5 pens cost? (a) ₹65 (b) ₹66 (c) ₹55 (d) ₹330
18. 18.If 2 notebooks cost ₹8, how much do 9 notebooks cost? (a) ₹15 (b) ₹72 (c) ₹36 (d) ₹40
19. 19.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 17 days (b) 4 days (c) 5 days (d) 6 days
20. 20.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 5 days (d) 4 days
21. 21.₹88 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹8 (b) ₹44 (c) ₹72 (d) ₹16
22. 22.If 9 notebooks cost ₹216, how much do 3 notebooks cost? (a) ₹96 (b) ₹648 (c) ₹72 (d) ₹210
23. 23.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 9 days (c) 4 days (d) 5 days
24. 24.₹440 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹220 (b) ₹40 (c) ₹120 (d) ₹320
25. 25.If 4 kites cost ₹84, how much do 2 kites cost? (a) ₹63 (b) ₹168 (c) ₹42 (d) ₹82
26. 26.₹126 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹98 (b) ₹14 (c) ₹63 (d) ₹28
27. 27.8 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 16 days (c) 10 days (d) 14 days
28. 28.8 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 12 days (b) 11 days (c) 13 days (d) 7 days
29. 29.6 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 14 days (b) 16 days (c) 9 days (d) 10 days
30. 30.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 7 days (c) 11 days (d) 1 day
31. 31.₹297 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹27 (b) ₹81 (c) ₹243 (d) ₹216
32. 32.6 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 16 days (c) 7 days (d) 5 days
33. 33.If 7 kites cost ₹147, how much do 6 kites cost? (a) ₹147 (b) ₹882 (c) ₹146 (d) ₹126
34. 34.If 9 pens cost ₹135, how much do 2 pens cost? (a) ₹45 (b) ₹128 (c) ₹270 (d) ₹30
35. 35.₹360 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹210 (b) ₹180 (c) ₹30 (d) ₹150
36. 36.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 20 days (b) 6 days (c) 15 days (d) 5 days
37. 37.If 3 pens cost ₹9, how much do 11 pens cost? (a) ₹99 (b) ₹17 (c) ₹36 (d) ₹33
38. 38.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 7 days (d) 2 days
39. 39.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 20 days (b) 5 days (c) 4 days (d) 36 days
40. 40.₹252 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹21 (b) ₹147 (c) ₹105 (d) ₹126

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