Ratio and Proportion

1. In a class, there are 18 boys and 12 girls. What is the ratio of boys to girls?

2. The ratio of red marbles to blue marbles is 5:3. If there are 25 red marbles, how many blue marbles are there?

3. A recipe uses 2 cups of flour for every 3 cups of sugar. How much flour is needed for 9 cups of sugar?

4. Ravi and Anil share ₹360 in the ratio 5:4. How much does Ravi get?

5. The ratio of cats to dogs in a pet shop is 7:5. If there are 35 cats, how many dogs are there?

6. A bag contains apples and oranges in the ratio 4:7. If there are 28 oranges, how many apples are there?

7. In a school, the ratio of teachers to students is 1:20. If there are 15 teachers, how many students are there?

8. A map uses a scale of 1 cm = 5 km. How many cm represent 40 km?

9. Three friends divide 84 candies in the ratio 2:3:5. How many candies does the first friend get?

10. If 4 workers build a wall in 12 days, how many days will 6 workers take to build the same wall?

11. The ratio of boys to girls in a dance class is 3:5. If there are 24 boys, how many girls are there?

12. A paint mix requires blue and white in the ratio 2:5. How much white is needed for 8 liters of blue?

13. A sum of money is divided between Reena and Sita in the ratio 7:3. If Reena gets ₹490, what is Sita's share?

14. If 5 books cost ₹250, what is the cost of 12 books?

15. The ratio of pencils to erasers in a box is 9:4. If there are 36 pencils, how many erasers are there?

16. A car travels 180 km in 3 hours. How far will it travel in 5 hours at the same speed?

17. In a fruit basket, mangoes and bananas are in the ratio 5:8. If there are 40 mangoes, how many bananas?

18. A rectangle's length and width are in the ratio 4:3. If the length is 28 cm, what is the width?

19. If 3 kg of sugar costs ₹120, what will 7 kg cost?

20. The ratio of ages of Amit and his father is 1:5. If Amit is 12 years old, how old is his father?

21. A team won 15 matches and lost 9. What is the ratio of wins to losses?

22. If 8 machines produce 200 toys in one hour, how many toys will 12 machines produce in one hour?

23. The ratio of milk to water in a mixture is 3:2. How much water is there if milk is 15 liters?

24. A ribbon is cut into pieces in the ratio 2:3:4. If the longest piece is 20 cm, what is the total length?

25. If 7 pens cost ₹56, how many pens can be bought for ₹96?

26. In a zoo, deer and monkeys are in the ratio 4:7. If there are 28 deer, how many monkeys?

27. A train travels 240 km in 4 hours. How long will it take to travel 360 km?

28. The ratio of red to green balls is 5:11. If green balls are 44, how many red balls?

29. Three partners invest money in the ratio 3:4:5 and share profit equally? Wait—no, share in same ratio. If total profit is ₹7200, how much does the first get?

30. If 5 liters of paint cover 25 m², how much paint is needed for 60 m²?

31. The ratio of chairs to tables in a hall is 10:3. If there are 60 chairs, how many tables?

32. A shop mixes tea at ₹80/kg and ₹120/kg in ratio 3:2. What is the price per kg of mixture?

33. If 9 workers complete a job in 12 days, how many workers are needed to complete it in 8 days?

34. In a drawing, height to width is 5:3. If height is 25 cm, what is width?

35. A sum is divided among A, B, C in ratio 2:3:7. If C gets ₹420, what is total sum?

36. If 4 kg rice costs ₹180, find cost of 11 kg rice.

37. Ratio of boys to total students is 3:8. If total students = 56, how many boys?

38. A scooter uses 2 liters petrol for 60 km. How much petrol for 150 km?

39. Ratio of copper to zinc in alloy is 7:3. If copper is 35 kg, find zinc.

40. If 6 notebooks cost ₹120, how much do 15 notebooks cost?

41. In a game, points of Team A and B are in ratio 11:8. If Team A has 66 points, how many for B?

42. A farmer has cows and hens. Ratio of cows to hens = 3:10. If hens = 80, find cows.

43. If 5 men can do a work in 10 days, how many days for 10 men?

44. Ratio of shaded to unshaded part of figure is 2:5. If shaded = 18, total parts?

45. A juice is made with orange and apple in ratio 4:5. How many liters apple if orange = 12 L?

46. If 3 kg apples cost ₹150, find cost of 10 kg.

47. Ratio of girls to boys is 5:4. If girls = 35, total students?

48. A map scale 2 cm = 10 km. How many km for 15 cm?

49. Divide ₹450 among three in ratio 1:2:6. Find largest share.

50. If 7 workers earn ₹2100 in a week, how much 4 workers earn?

51. Ratio of black to white tiles is 9:5. If black = 72, white?

52. A car goes 240 km on 20 liters. How far on 35 liters?

53. Ratio of ages of Ram and Shyam is 4:5. If difference is 6 years, find Ram's age.

54. If 12 m cloth costs ₹480, cost of 25 m?

55. In a school trip, ratio teachers:students = 2:15. If 6 teachers, total students?

56. A mixture has sand and cement in 5:2. Cement = 14 kg, sand?

57. If 8 books weigh 4 kg, weight of 20 books?

58. Ratio of savings of P and Q is 3:7. If P saves ₹1200, Q saves?

59. A tank fills in 6 hours with 5 pipes. How many pipes fill in 3 hours?

60. Ratio of red roses to pink roses = 7:11. Pink = 55, red?

61. If 9 kg sugar = ₹270, find ₹450 buys how many kg?

62. Ratio of length to breadth of field = 5:3. Perimeter 160 m, find length.

63. 4 kg wheat = ₹140. Find cost of 15 kg.

64. Ratio A:B:C = 2:3:4. Total = 108, find B.

65. If 5 L milk = ₹250, how much for 13 L?

66. Ratio of boys:girls = 4:5. Total 81, find girls.

67. A recipe: 3 eggs for 12 cookies. How many eggs for 40 cookies?

68. If 6 men harvest field in 8 days, how many days 12 men?

69. Ratio of coins 50p and ₹1 is 3:4. Total value ₹41, find 50p coins.

70. A photo scale 3 cm : 12 m. Building 5 cm tall in photo, real height?

71. Divide 560 in ratio 3:5:6. Find middle share.

72. If 7 pencils = ₹49, pencils for ₹112?

73. Ratio milk:water = 5:3. Water = 24 L, milk?

74. A bus travels 180 km in 3 hrs. Time for 300 km?

75. Ratio of toys A:B = 8:5. Total 91, find A.

76. If 4 kg potatoes = ₹80, cost of 11 kg?

77. Ratio shaded:total = 3:10. Shaded 24, total?

78. 5 workers paint house in 15 days. Days for 10 workers?

79. Ratio of girls to total = 7:12. Boys 35, total?

80. A map 1:50000. Distance 4 cm on map = ? km real.

81. Divide ₹1000 in 2:3:5. Smallest share?

82. If 3 L oil = ₹420, cost of 8 L?

83. Ratio cats:dogs:rabbits = 3:4:5. Dogs 36, total animals?

84. If 9 m rope = ₹108, cost of 25 m?

85. Ratio of red to total balls = 5:13. Red 40, total?

86. A machine makes 150 items in 5 hrs. Items in 8 hrs?

87. Ratio A:B = 7:9. If A = 49, B?

88. If 6 kg rice = ₹360, how many kg for ₹600?

89. Ratio boys:girls = 11:13. Total 240, girls?

90. 4 taps fill tank in 12 min. Time for 6 taps?

91. Ratio of money X:Y:Z = 4:5:7. Z = ₹280, total?

92. If 5 books = ₹375, books for ₹900?

93. Ratio flour:sugar = 4:3. Sugar 15 kg, flour?

94. A cycle covers 24 km in 2 hrs. Speed in km/h? Distance in 5 hrs?

95. Ratio of ages mother:son = 5:2. Son 12, mother?

96. If 8 kg dal = ₹400, cost of 14 kg?

97. Ratio black:white sheep = 3:7. White 56, black?

98. 10 men dig pit in 6 days. Men for 4 days?

99. Ratio of cost price to selling price = 5:7. Profit %?

100. A school has students in ratio boys:girls = 9:11. If 180 girls, total students?

These problems use whole numbers and simple calculations suitable for Grade 6 level. Students can solve using unitary method, cross-multiplication, or equivalent ratios. Happy practicing!