Most important Ratio and Proportion Questions and Answers for Mathematics test preparation online.

## Ratio and Proportion Questions

**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 ______?**

A. 20**B. 30**

C. 48

D. 58

**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 ?**

A. 8 : 9

B. 17 : 18**C. 21 : 22**

D. Cannot be determined

**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 B’s share ?**

A. Rs. 500

B. Rs. 1500**C. Rs. 2000**

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

A. 2 : 5

B. 3 : 5**C. 4 : 5**

D. 6 : 7

**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 :________?**

A. 27

B. 33**C. 49**

D. 55

**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?**

A. 50

B. 100**C. 150**

D. 200

**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 ?**

**A. 2 : 3 : 4**

B. 6 : 7 : 8

C. 6 : 8 : 9

D. None of these

**If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?**

A. 2 : 5

B. 3 : 7**C. 5 : 3**

D. 7 : 3

**Find the fourth proportion to 3, 7 and 9.**

A. 63

B. 31**C. 21**

D. 27

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

A. 2:5

B. 4:5

C. 6:5**D. 8:5**

**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.**

A. 6:10**B. 13:20**

C. 3:4

D. 35:33

**Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.**

**A. 38**

B. 35

C. 10

D. 28

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

**A. 4**

B. 6

C. 3

D. 2

**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.**

A. Rs.18000

B. Rs.13000**C. Rs.15000**

D. Rs.10000

**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.**

A. 44**B. 55**

C. 66

D. 77

**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?**

A. 9:19**B. 19:9**

C. 15:28

D. 28:15

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

A. 8

B. 6**C. 12**

D. 18

**p is 50% more than q. Find the ratio of p to q.**

**A. 3:2**

B. 1:2

C. 1:5

D. 2:1

**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.**

**A. 2:3**

B. 3:2

C. 3:4

D. 4:3

**Two natural numbers whose sum is 72 cannot be in the ratio:**

A. 1:2

B. 3:5

C. 1:3**D. 3:4**

**Solve for x2x:25 = 6:(x/3)**

A. 18**B. 15**

C. 12

D. 5

**x is 20% more than z and y is 80% more than z. Find x:y.**

A. 1:4

B. 3:4

C. 1:3**D. 2:3**

**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.**

A. Rs.100

B. Rs.700**C. Rs.1600**

D. Rs.2000

**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?**

A. 3:1**B. 4:1**

C. 3:4

D. 4:3

**X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.**

A. 32:35

B. 67:56**C. 5:14**

D. 5:7

**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?**

A. 360

B. 380**C. 375**

D. 400

**The third proportional to 3.5, 5.6 is ______?**

**A. 8.96**

B. 8

C. 4.5

D. 6.2

**The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.**

A. 30, 19

B. 21, 37

C. 15, 34**D. 15, 27**

**Divide Rs.2000 into two shares in the ratio 3:2.**

**A. Rs.1200,Rs.800**

B. Rs.800,Rs.1200

C. Rs.1500,Rs.500

D. Rs.1100, Rs.900

**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.**

A. 66

B. 48**C. 24**

D. 8

**If x% of 200=y% of 250, find y:x.**

A. 5:4

B. 5:2

C. 2:5**D. 4:5**

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

A. 120

B. 80

C. 192**D. 48**

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

A. 48**B. 42**

C. 60

D. 70

**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.**

A. 96

B. 68

C. 72**D. 108**

**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.**

A. 45 cm

B. 40 cm**C. 36 cm**

D. 27 cm

**M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P = ______?**

A. 1/3

B. 7/9**C. 5/12**

D. None of these

**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.**

A. 16 : 2 : 3

B. 8 : 3 : 6**C. 16 : 2 : 9**

D. 6 : 9 : 1

**The length and breadth of a rectangle are in the ratio 5:4. Find its perimeter if its area is 180 cm²**

**A. 54 cm**

B. 27 cm

C. 12 cm

D. 15 cm

**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.**

A. 1200 m²

B. 1500 m²

C. 12000 m²**D. 15000 m²**

**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.**

A. 15**B. 10**

C. 8

D. 5

**If X:Y = 2:3, Y:Z = 4:5. Find X:Y:Z.**

A. 2:3:5**B. 8:12:15**

C. 2:8:5

D. 2:7:5

**Find the mean proportion between 5 and 45.**

A. 9**B. 15**

C. 25

D. 50

**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.**

**A. 2**

B. 3

C. 5

D. 6

**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.**

A. 160

B. 200

C. 250**D. 240**

**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.**

**A. 8:15:30**

B. 5:18:28

C. 4:5:6

D. 2:3:5

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

A. 40**B. 50**

C. 60

D. 30

**What is the ratio of Faheem’s salary to Imran’s salary to Naveed’s salary if Faheem makes 80,000 rupees ,Imran 70,000 rupees and Naveed makes 50,000 rupees ?**

A. 80:70:60**B. 8:7:5**

C. 4:7:5

D. 7:8:5

**In a certain class the ratio of men to women is 3:5. If the class has 24 people in it, how many are women?**

A. 9

B. 12**C. 15**

D. 18

**Also Read: Basic Math MCQs**

Ratio and Proportion Questions and Answers with Solutions for Mathematics test preparation online.