Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 901 · 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 pens cost ₹36, how much do 5 pens cost? (a) ₹60 (b) ₹72 (c) ₹38 (d) ₹180
2. 2.₹165 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹99 (b) ₹33 (c) ₹66 (d) ₹132
3. 3.₹119 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹68 (b) ₹51 (c) ₹17 (d) ₹85
4. 4.If 7 kites cost ₹126, how much do 12 kites cost? (a) ₹234 (b) ₹216 (c) ₹131 (d) ₹1512
5. 5.₹182 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹91 (b) ₹112 (c) ₹70 (d) ₹14
6. 6.If 2 kites cost ₹42, how much do 9 kites cost? (a) ₹378 (b) ₹49 (c) ₹210 (d) ₹189
7. 7.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 7 days (d) 3 days
8. 8.If 9 notebooks cost ₹162, how much do 7 notebooks cost? (a) ₹144 (b) ₹160 (c) ₹1134 (d) ₹126
9. 9.₹48 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹6 (b) ₹30 (c) ₹18 (d) ₹24
10. 10.₹72 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹36 (b) ₹54 (c) ₹18 (d) ₹72
11. 11.If 6 kites cost ₹24, how much do 10 kites cost? (a) ₹40 (b) ₹240 (c) ₹28 (d) ₹44
12. 12.₹240 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹120 (b) ₹90 (c) ₹150 (d) ₹30
13. 13.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 29 days (b) 28 days (c) 13 days (d) 1 day
14. 14.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 12 days (d) 17 days
15. 15.If 7 notebooks cost ₹21, how much do 5 notebooks cost? (a) ₹105 (b) ₹18 (c) ₹15 (d) ₹19
16. 16.If 5 notebooks cost ₹50, how much do 2 notebooks cost? (a) ₹47 (b) ₹20 (c) ₹30 (d) ₹100
17. 17.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 4 days (c) 10 days (d) 14 days
18. 18.If 3 kites cost ₹63, how much do 7 kites cost? (a) ₹67 (b) ₹168 (c) ₹441 (d) ₹147
19. 19.4 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 20 days (c) 16 days (d) 21 days
20. 20.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 26 days (c) 27 days (d) 28 days
21. 21.₹130 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹130 (b) ₹26 (c) ₹65 (d) ₹104
22. 22.4 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 14 days (b) 3 days (c) 18 days (d) 2 days
23. 23.If 9 mangoes cost ₹54, how much do 4 mangoes cost? (a) ₹24 (b) ₹216 (c) ₹49 (d) ₹30
24. 24.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 15 days
25. 25.₹258 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹129 (d) ₹258
26. 26.If 6 kites cost ₹54, how much do 4 kites cost? (a) ₹52 (b) ₹36 (c) ₹216 (d) ₹45
27. 27.If 5 pens cost ₹120, how much do 3 pens cost? (a) ₹118 (b) ₹360 (c) ₹96 (d) ₹72
28. 28.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹18 (b) ₹24 (c) ₹6 (d) ₹21
29. 29.If 2 mangoes cost ₹26, how much do 7 mangoes cost? (a) ₹31 (b) ₹104 (c) ₹182 (d) ₹91
30. 30.₹140 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹20 (b) ₹100 (c) ₹70 (d) ₹40
31. 31.If 8 kites cost ₹64, how much do 4 kites cost? (a) ₹32 (b) ₹256 (c) ₹40 (d) ₹60
32. 32.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 1 day (b) 11 days (c) 10 days (d) 9 days
33. 33.₹650 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹450 (b) ₹325 (c) ₹200 (d) ₹50
34. 34.If 4 notebooks cost ₹68, how much do 7 notebooks cost? (a) ₹119 (b) ₹71 (c) ₹476 (d) ₹136
35. 35.If 7 notebooks cost ₹84, how much do 4 notebooks cost? (a) ₹336 (b) ₹48 (c) ₹60 (d) ₹81
36. 36.If 3 kites cost ₹42, how much do 4 kites cost? (a) ₹56 (b) ₹70 (c) ₹43 (d) ₹168
37. 37.₹171 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹152 (b) ₹171 (c) ₹19 (d) ₹153
38. 38.If 5 pens cost ₹120, how much do 4 pens cost? (a) ₹96 (b) ₹480 (c) ₹120 (d) ₹119
39. 39.3 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) 45 days (d) 5 days
40. 40.If 9 mangoes cost ₹162, how much do 7 mangoes cost? (a) ₹1134 (b) ₹126 (c) ₹144 (d) ₹160

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