Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 895 · 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.₹658 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹423 (b) ₹47 (c) ₹329 (d) ₹235
2. 2.₹403 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹248 (b) ₹155 (c) ₹279 (d) ₹31
3. 3.₹153 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹119 (b) ₹34 (c) ₹17 (d) ₹136
4. 4.If 2 mangoes cost ₹26, how much do 6 mangoes cost? (a) ₹30 (b) ₹91 (c) ₹78 (d) ₹156
5. 5.If 4 notebooks cost ₹40, how much do 12 notebooks cost? (a) ₹480 (b) ₹120 (c) ₹48 (d) ₹130
6. 6.6 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 6 days (d) 2 days
7. 7.₹231 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹147 (b) ₹168 (c) ₹21 (d) ₹84
8. 8.8 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 40 days (c) 10 days (d) 41 days
9. 9.If 6 notebooks cost ₹96, how much do 2 notebooks cost? (a) ₹92 (b) ₹192 (c) ₹48 (d) ₹32
10. 10.₹100 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹30 (b) ₹10 (c) ₹70 (d) ₹50
11. 11.If 6 mangoes cost ₹138, how much do 7 mangoes cost? (a) ₹161 (b) ₹184 (c) ₹966 (d) ₹139
12. 12.If 7 mangoes cost ₹154, how much do 11 mangoes cost? (a) ₹264 (b) ₹1694 (c) ₹242 (d) ₹158
13. 13.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 12 days (b) 1 day (c) 3 days (d) 11 days
14. 14.If 3 kites cost ₹57, how much do 9 kites cost? (a) ₹190 (b) ₹63 (c) ₹171 (d) ₹513
15. 15.₹176 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹176 (b) ₹154 (c) ₹22 (d) ₹88
16. 16.9 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 12 days (b) 13 days (c) 11 days (d) 5 days
17. 17.₹182 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹52 (b) ₹26 (c) ₹91 (d) ₹130
18. 18.If 6 pens cost ₹138, how much do 10 pens cost? (a) ₹253 (b) ₹230 (c) ₹142 (d) ₹1380
19. 19.₹39 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹39 (b) ₹27 (c) ₹13 (d) ₹26
20. 20.If 9 pens cost ₹162, how much do 4 pens cost? (a) ₹72 (b) ₹157 (c) ₹648 (d) ₹90
21. 21.4 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 6 days (c) 7 days (d) 21 days
22. 22.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 26 days (c) 10 days (d) 27 days
23. 23.9 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 18 days (d) 15 days
24. 24.₹140 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹140 (b) ₹126 (c) ₹14 (d) ₹70
25. 25.₹364 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹182 (b) ₹234 (c) ₹130 (d) ₹26
26. 26.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 28 days (d) 27 days
27. 27.₹429 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹312 (b) ₹156 (c) ₹39 (d) ₹273
28. 28.₹330 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹231 (b) ₹165 (c) ₹33 (d) ₹99
29. 29.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 15 days (d) 14 days
30. 30.If 7 pens cost ₹161, how much do 6 pens cost? (a) ₹160 (b) ₹966 (c) ₹161 (d) ₹138
31. 31.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 4 days (c) 12 days (d) 17 days
32. 32.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 3 days (c) 4 days (d) 10 days
33. 33.If 2 notebooks cost ₹36, how much do 5 notebooks cost? (a) ₹180 (b) ₹90 (c) ₹108 (d) ₹39
34. 34.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 15 days (d) 6 days
35. 35.If 5 mangoes cost ₹95, how much do 11 mangoes cost? (a) ₹228 (b) ₹209 (c) ₹1045 (d) ₹101
36. 36.If 4 notebooks cost ₹20, how much do 7 notebooks cost? (a) ₹23 (b) ₹40 (c) ₹140 (d) ₹35
37. 37.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 7 days (d) 12 days
38. 38.If 5 pens cost ₹65, how much do 3 pens cost? (a) ₹52 (b) ₹39 (c) ₹63 (d) ₹195
39. 39.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 19 days (d) 4 days
40. 40.If 4 pens cost ₹40, how much do 2 pens cost? (a) ₹38 (b) ₹80 (c) ₹30 (d) ₹20

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