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ratio and proportion MCQs

Practise focused ratio and proportion questions with marked answers for exam preparation and subject revision.

ratio and proportion Mcqs
1. What is the ratio of Faheems salary to Imrans salary to Naveeds salary if Faheem makes 80,000 rupees ,Imran 70,000 rupees and Naveed makes 50,000 rupees ?
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A. 7:08:05

B. 80:70:60

C. 4:07:05

D. 8:7:5
2. The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.
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A. 30, 19

B. 15, 34

C. 21, 37

D. 15, 27
3. p is 50% more than q. Find the ratio of p to q.
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A. 3:2

B. 1:02

C. 1:05

D. 2:01

4. The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.
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A. 3:04

B. 13:20

C. 35:33:00

D. 6:10

5. x is 20% more than z and y is 80% more than z. Find x:y.
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A. 1:03

B. 1:04

C. 3:04

D. 2:3
6. Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.
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A. 10

B. 38

C. 35

D. 28

7. A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.
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A. Rs.2000

B. Rs.100

C. Rs.700

D. Rs.1600
8. 4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.
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A. Rs.18000

B. Rs.10000

C. Rs.13000

D. Rs.15000
9. X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.
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A. 5:07

B. 67:56:00

C. 32:35:00

D. 5:14
10. Divide Rs.2000 into two shares in the ratio 3:2.
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A. Rs.1500,Rs.500

B. Rs.1100, Rs.900

C. Rs.800,Rs.1200

D. Rs.1200,Rs.800
11. Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg?
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A. 3:01

B. 4:03

C. 3:04

D. 4:1
12. A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.
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A. 3:02

B. 3:04

C. 2:3

D. 4:03

13. In what ratio should the profit be divided if M, N, O invests capital in ratio 2:3:5 and their timing of their investments are in the ratio 4:5:6.
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A. 4:05:06

B. 8:15:30

C. 5:18:28

D. 2:03:05

14. M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P =________?
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A. 5/12

B. 3-Jan

C. 9-Jul

D. None of these

15. According to a recipe, 400 grams of flour should be mixed with 500 grams of sugar to bake cookies. If I have only 300 grams of flour, how much sugar should I mix to maintain the same proportion?
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A. 400

B. 375

C. 380

D. 360

16. The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.
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A. 36 cm

B. 27 cm

C. 40 cm

D. 45 cm

17. If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?
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A. 15:28

B. 9:19

C. 19:9

D. 28:15:00

18. The length and breadth of a rectangle are in the ratio 5:4. Find its perimeter if its area is 180 cm
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A. 12 cm

B. 54 cm

C. 15 cm

D. 27 cm

19. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
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A. 100

B. 150

C. 200

D. 50

20. A bag contains 1 rupee, 2 rupee and 5 rupee coins amounting to Rs.264. If the ratio of the number of these coins is 3:5:4, find the number of 1 rupee coins.
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A. 24

B. 8

C. 66

D. 48

21. If X:Y = 2:3, Y:Z = 4:5. Find X:Y:Z.
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A. 2:03:05

B. 2:07:05

C. 8:12:15

D. 2:08:05

22. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?
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A. 33

B. 49

C. 27

D. 55

23. Find the fourth proportion to 3, 7 and 9.
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A. 63

B. 21

C. 27

D. 31

24. A bag contains 50 paise, 1 rupee and 2 rupee coins in the ratio 2:5:8. If the total amount is Rs. 352, find the total number of coins in the bag.
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A. 160

B. 200

C. 240

D. 250

25. In what ratio should the profit of Rs.8000 be divided if X starts a business with an investment of Rs. 20000, Y invests Rs.7500 for 4 months and Z invests Rs.15000 after 3 months from the start of the business.
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A. 16:02:03

B. 16 : 2 : 9

C. 6:09:01

D. 8:03:06

26. In a partnership for a business, Changaz invests Rs.6000 for complete year & Nasir invests Rs.3000 for 6 months. What is Nasirs share if they earn Rs.240 as profit?
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A. 120

B. 48

C. 80

D. 192

27. Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?
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A. 40

B. 60

C. 30

D. 50
28. A class has 90 students. If the ratio of boys and girls is 7:8, find the number of boys in the class.
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A. 48

B. 60

C. 70

D. 42
29. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?
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A. 5 : 3

B. 2:05

C. 3:07

D. 7:03

30. The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :__________?
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A. 30

B. 48

C. 58

D. 20

31. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
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A. 6:07:08

B. None of these

C. 2 : 3 : 4

D. 6:08:09

32. The ratio of two numbers a and b is 3:5. If 2 is added to both the numbers, the ratio becomes 2:3. Find b.
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A. 15

B. 8

C. 10

D. 5

33. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?
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A. Cannot be determined

B. 8:09

C. 21 : 22

D. 17:18

34. If x% of 200=y% of 250, find y:x.
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A. 4:5

B. 5:02

C. 2:05

D. 5:04

35. The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.
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A. 8

B. 6

C. 12

D. 18

36. The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.
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A. 66

B. 55

C. 77

D. 44

37. The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.
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A. 2

B. 6

C. 3

D. 4
38. The ratio of boys and girls in a class was 11:13. 8 girls and 4 boys join the class from this academic year and the ratio becomes 4:5. Find the strength of the class.
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A. 68

B. 72

C. 96

D. 108
39. The plan for a rectangular area is drawn to a scale of 1:500. If the length and breadth in the plan is 30 cm and 20 cm, find the actual area.
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A. 15000 m

B. 1200 m

C. 12000 m

D. 1500 m

40. A:B=2:3, B:C=3:4, A:D=4:5. Find C:D.
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A. 2:05

B. 8:5

C. 4:05

D. 6:05

41. Find the mean proportion between 5 and 45.
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A. 9

B. 50

C. 25

D. 15
42. The third proportional to 3.5, 5.6 is:___________?
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A. 4.5

B. 8

C. 6.2

D. 8.96
43. A surn of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is Bs share ?
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A. None of these

B. Rs. 500

C. Rs. 2000

D. Rs. 1500

44. Three quantities X, Y and Z are such that XY=kZ where k is constant. Initially, X was at 4 and X:Y:Z was 2:3:4. If the value of Y is changed to 12 and Z is kept constant, find the value of X.
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A. 6

B. 5

C. 2

D. 3

45. Solve for x <br> 2x:25 = 6:(x/3)
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A. 15

B. 18

C. 12

D. 5

46. Two natural numbers whose sum is 72 cannot be in the ratio:
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A. 3:05

B. 1:03

C. 3:4

D. 1:02

47. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?
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A. 4 : 5

B. 6:07

C. 3:05

D. 2:05