Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 162 · 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 2 pens cost ₹10, how much do 4 pens cost? (a) ₹25 (b) ₹40 (c) ₹20 (d) ₹12
2. 2.If 6 kites cost ₹132, how much do 5 kites cost? (a) ₹132 (b) ₹660 (c) ₹110 (d) ₹131
3. 3.₹200 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹80 (b) ₹40 (c) ₹100 (d) ₹120
4. 4.If 5 notebooks cost ₹120, how much do 12 notebooks cost? (a) ₹127 (b) ₹288 (c) ₹312 (d) ₹1440
5. 5.If 7 pens cost ₹28, how much do 5 pens cost? (a) ₹26 (b) ₹140 (c) ₹24 (d) ₹20
6. 6.₹50 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹50 (b) ₹40 (c) ₹10 (d) ₹25
7. 7.If 8 kites cost ₹184, how much do 3 kites cost? (a) ₹179 (b) ₹92 (c) ₹69 (d) ₹552
8. 8.If 7 notebooks cost ₹119, how much do 2 notebooks cost? (a) ₹114 (b) ₹51 (c) ₹238 (d) ₹34
9. 9.If 7 pens cost ₹91, how much do 6 pens cost? (a) ₹90 (b) ₹546 (c) ₹91 (d) ₹78
10. 10.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 10 days (c) 3 days (d) 4 days
11. 11.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 9 days (c) 17 days (d) 13 days
12. 12.₹66 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹66 (b) ₹55 (c) ₹33 (d) ₹11
13. 13.If 2 kites cost ₹32, how much do 4 kites cost? (a) ₹128 (b) ₹64 (c) ₹34 (d) ₹80
14. 14.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 3 days (d) 11 days
15. 15.₹40 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹24 (b) ₹8 (c) ₹16 (d) ₹20
16. 16.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 10 days (c) 9 days (d) 8 days
17. 17.₹252 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹210 (b) ₹126 (c) ₹252 (d) ₹42
18. 18.If 6 mangoes cost ₹18, how much do 7 mangoes cost? (a) ₹126 (b) ₹19 (c) ₹21 (d) ₹24
19. 19.3 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 7 days (c) 17 days (d) 28 days
20. 20.If 3 kites cost ₹69, how much do 2 kites cost? (a) ₹46 (b) ₹68 (c) ₹69 (d) ₹138
21. 21.₹108 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹9 (b) ₹45 (c) ₹54 (d) ₹63
22. 22.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 16 days (b) 17 days (c) 15 days (d) 13 days
23. 23.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹10 (b) ₹45 (c) ₹20 (d) ₹70
24. 24.If 7 mangoes cost ₹63, how much do 10 mangoes cost? (a) ₹99 (b) ₹630 (c) ₹66 (d) ₹90
25. 25.If 4 mangoes cost ₹56, how much do 5 mangoes cost? (a) ₹70 (b) ₹280 (c) ₹57 (d) ₹84
26. 26.If 7 kites cost ₹175, how much do 10 kites cost? (a) ₹178 (b) ₹250 (c) ₹1750 (d) ₹275
27. 27.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 6 days (d) 3 days
28. 28.₹155 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹155 (b) ₹31 (c) ₹124 (d) ₹125
29. 29.₹196 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹196 (b) ₹98 (c) ₹49 (d) ₹147
30. 30.₹315 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹315 (b) ₹271 (c) ₹270 (d) ₹45
31. 31.₹308 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹44 (b) ₹264 (c) ₹154 (d) ₹308
32. 32.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 8 days (d) 18 days
33. 33.6 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 10 days (d) 11 days
34. 34.₹155 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹93 (b) ₹31 (c) ₹124 (d) ₹62
35. 35.If 7 pens cost ₹35, how much do 4 pens cost? (a) ₹25 (b) ₹20 (c) ₹140 (d) ₹32
36. 36.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 22 days (c) 11 days (d) 21 days
37. 37.9 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 12 days (b) 16 days (c) 19 days (d) 18 days
38. 38.6 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 13 days (b) 12 days (c) 6 days (d) 10 days
39. 39.If 7 kites cost ₹70, how much do 10 kites cost? (a) ₹700 (b) ₹110 (c) ₹100 (d) ₹73
40. 40.If 7 mangoes cost ₹147, how much do 8 mangoes cost? (a) ₹1176 (b) ₹168 (c) ₹189 (d) ₹148

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