Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 429 · 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 8 mangoes cost ₹104, how much do 12 mangoes cost? (a) ₹156 (b) ₹169 (c) ₹108 (d) ₹1248
2. 2.If 7 notebooks cost ₹42, how much do 11 notebooks cost? (a) ₹462 (b) ₹66 (c) ₹72 (d) ₹46
3. 3.₹192 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹72 (b) ₹24 (c) ₹120 (d) ₹96
4. 4.If 2 notebooks cost ₹20, how much do 11 notebooks cost? (a) ₹110 (b) ₹29 (c) ₹120 (d) ₹220
5. 5.₹473 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹43 (b) ₹172 (c) ₹344 (d) ₹301
6. 6.If 9 kites cost ₹180, how much do 4 kites cost? (a) ₹720 (b) ₹100 (c) ₹175 (d) ₹80
7. 7.If 3 kites cost ₹42, how much do 4 kites cost? (a) ₹43 (b) ₹56 (c) ₹168 (d) ₹70
8. 8.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 7 days (c) 5 days (d) 4 days
9. 9.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 8 days (d) 4 days
10. 10.₹390 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹240 (b) ₹30 (c) ₹150 (d) ₹195
11. 11.If 2 pens cost ₹20, how much do 6 pens cost? (a) ₹120 (b) ₹70 (c) ₹60 (d) ₹24
12. 12.If 3 pens cost ₹48, how much do 5 pens cost? (a) ₹240 (b) ₹50 (c) ₹80 (d) ₹96
13. 13.₹80 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹40 (b) ₹16 (c) ₹32 (d) ₹48
14. 14.₹220 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹110 (b) ₹140 (c) ₹80 (d) ₹20
15. 15.If 3 mangoes cost ₹15, how much do 11 mangoes cost? (a) ₹23 (b) ₹60 (c) ₹55 (d) ₹165
16. 16.If 2 pens cost ₹46, how much do 10 pens cost? (a) ₹230 (b) ₹54 (c) ₹253 (d) ₹460
17. 17.If 6 pens cost ₹66, how much do 11 pens cost? (a) ₹71 (b) ₹121 (c) ₹132 (d) ₹726
18. 18.₹416 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹208 (b) ₹160 (c) ₹256 (d) ₹32
19. 19.₹50 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹50 (b) ₹10 (c) ₹25 (d) ₹40
20. 20.₹253 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹92 (b) ₹161 (c) ₹23 (d) ₹184
21. 21.₹90 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹90 (b) ₹80 (c) ₹45 (d) ₹10
22. 22.₹500 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹500 (b) ₹450 (c) ₹50 (d) ₹250
23. 23.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 20 days (c) 42 days (d) 43 days
24. 24.₹405 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹225 (b) ₹270 (c) ₹180 (d) ₹45
25. 25.If 5 mangoes cost ₹100, how much do 6 mangoes cost? (a) ₹140 (b) ₹120 (c) ₹101 (d) ₹600
26. 26.If 8 pens cost ₹136, how much do 7 pens cost? (a) ₹135 (b) ₹952 (c) ₹119 (d) ₹136
27. 27.If 2 pens cost ₹32, how much do 10 pens cost? (a) ₹40 (b) ₹160 (c) ₹176 (d) ₹320
28. 28.If 7 notebooks cost ₹63, how much do 2 notebooks cost? (a) ₹18 (b) ₹58 (c) ₹27 (d) ₹126
29. 29.If 5 notebooks cost ₹70, how much do 10 notebooks cost? (a) ₹75 (b) ₹700 (c) ₹140 (d) ₹154
30. 30.If 7 kites cost ₹126, how much do 2 kites cost? (a) ₹54 (b) ₹252 (c) ₹36 (d) ₹121
31. 31.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 15 days (c) 4 days (d) 27 days
32. 32.If 2 notebooks cost ₹8, how much do 9 notebooks cost? (a) ₹40 (b) ₹15 (c) ₹36 (d) ₹72
33. 33.₹450 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹100 (b) ₹225 (c) ₹350 (d) ₹50
34. 34.₹70 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹50 (b) ₹10 (c) ₹20 (d) ₹35
35. 35.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 49 days (b) 9 days (c) 19 days (d) 4 days
36. 36.7 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 15 days (c) 2 days (d) 14 days
37. 37.₹363 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹330 (b) ₹66 (c) ₹33 (d) ₹297
38. 38.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 10 days (c) 5 days (d) 3 days
39. 39.6 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 13 days (b) 15 days (c) 11 days (d) 12 days
40. 40.₹42 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹21 (b) ₹36 (c) ₹6 (d) ₹42

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