Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 201 · 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 5 mangoes cost ₹105, how much do 7 mangoes cost? (a) ₹168 (b) ₹735 (c) ₹147 (d) ₹107
2. 2.If 4 pens cost ₹24, how much do 6 pens cost? (a) ₹42 (b) ₹26 (c) ₹144 (d) ₹36
3. 3.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 34 days (b) 15 days (c) 33 days (d) 7 days
4. 4.₹192 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹16 (b) ₹80 (c) ₹96 (d) ₹112
5. 5.₹539 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹343 (b) ₹392 (c) ₹196 (d) ₹49
6. 6.₹506 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹184 (b) ₹46 (c) ₹253 (d) ₹322
7. 7.₹232 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹232 (b) ₹116 (c) ₹29 (d) ₹203
8. 8.₹480 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹200 (b) ₹240 (c) ₹40 (d) ₹280
9. 9.If 7 kites cost ₹70, how much do 5 kites cost? (a) ₹350 (b) ₹60 (c) ₹68 (d) ₹50
10. 10.₹280 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹245 (b) ₹280 (c) ₹140 (d) ₹35
11. 11.₹84 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹72 (b) ₹12 (c) ₹84 (d) ₹42
12. 12.If 5 notebooks cost ₹95, how much do 2 notebooks cost? (a) ₹190 (b) ₹92 (c) ₹57 (d) ₹38
13. 13.₹342 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹152 (b) ₹171 (c) ₹190 (d) ₹38
14. 14.If 2 kites cost ₹30, how much do 11 kites cost? (a) ₹165 (b) ₹180 (c) ₹330 (d) ₹39
15. 15.If 6 pens cost ₹30, how much do 3 pens cost? (a) ₹15 (b) ₹20 (c) ₹27 (d) ₹90
16. 16.If 2 kites cost ₹48, how much do 12 kites cost? (a) ₹312 (b) ₹576 (c) ₹58 (d) ₹288
17. 17.If 7 mangoes cost ₹77, how much do 4 mangoes cost? (a) ₹55 (b) ₹74 (c) ₹308 (d) ₹44
18. 18.If 7 mangoes cost ₹126, how much do 2 mangoes cost? (a) ₹252 (b) ₹54 (c) ₹36 (d) ₹121
19. 19.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 18 days (c) 10 days (d) 28 days
20. 20.6 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 9 days (c) 24 days (d) 6 days
21. 21.If 8 kites cost ₹128, how much do 3 kites cost? (a) ₹123 (b) ₹64 (c) ₹384 (d) ₹48
22. 22.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 5 days (d) 7 days
23. 23.₹60 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹35 (b) ₹25 (c) ₹30 (d) ₹5
24. 24.If 8 mangoes cost ₹40, how much do 12 mangoes cost? (a) ₹480 (b) ₹65 (c) ₹44 (d) ₹60
25. 25.6 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 9 days (b) 14 days (c) 16 days (d) 10 days
26. 26.If 6 notebooks cost ₹150, how much do 12 notebooks cost? (a) ₹156 (b) ₹1800 (c) ₹300 (d) ₹325
27. 27.If 3 kites cost ₹27, how much do 5 kites cost? (a) ₹29 (b) ₹45 (c) ₹54 (d) ₹135
28. 28.If 5 pens cost ₹95, how much do 6 pens cost? (a) ₹96 (b) ₹133 (c) ₹114 (d) ₹570
29. 29.If 6 mangoes cost ₹48, how much do 4 mangoes cost? (a) ₹192 (b) ₹46 (c) ₹32 (d) ₹40
30. 30.8 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 23 days (b) 24 days (c) 25 days (d) 12 days
31. 31.If 8 mangoes cost ₹64, how much do 12 mangoes cost? (a) ₹96 (b) ₹768 (c) ₹104 (d) ₹68
32. 32.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 17 days (c) 5 days (d) 4 days
33. 33.If 9 kites cost ₹27, how much do 10 kites cost? (a) ₹28 (b) ₹30 (c) ₹33 (d) ₹270
34. 34.₹217 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹93 (b) ₹124 (c) ₹155 (d) ₹31
35. 35.If 6 notebooks cost ₹60, how much do 9 notebooks cost? (a) ₹540 (b) ₹63 (c) ₹100 (d) ₹90
36. 36.If 2 mangoes cost ₹44, how much do 3 mangoes cost? (a) ₹45 (b) ₹88 (c) ₹132 (d) ₹66
37. 37.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 45 days (b) 17 days (c) 44 days (d) 5 days
38. 38.If 6 kites cost ₹60, how much do 7 kites cost? (a) ₹70 (b) ₹61 (c) ₹80 (d) ₹420
39. 39.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 27 days (b) 16 days (c) 26 days (d) 10 days
40. 40.₹456 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹266 (b) ₹190 (c) ₹228 (d) ₹38

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