This Article consist of most important ” Ratio and Proportion Questions and Answers ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.
Ratio and Proportion Questions and Answers
Question : 1 The fourth proportional to 5, 8, 15 is:
A. 18
B. 24
C. 19
D. 20
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Correct Answer : B
Explanation :
Let the fourth proportional to 5, 8, 15 be x.
Then, 5 : 8 : 15 : x
5x = (8 x 15)
x = (8 x 15)/5 = 24
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Question : 2 If 0.75 : x :: 5 : 8, then x is equal to:
A. 1.12
B. 1.2
C. 1.25
D. 1.30
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Correct Answer : B
Explanation :
(x x 5) = (0.75 x 8) x = 6/5 = 1.20
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Question : 3 Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit’s salary?
A. Rs. 17,000
B. Rs. 20,000
C. Rs. 25,500
D. Rs. 38,000
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Correct Answer : D
Explanation :
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, (2x + 4000/3x + 4000) = 40/57
57(2x + 4000) = 40(3x + 4000)
6x = 68,000
3x = 34,000
Sumit’s present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000
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Question : 4 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
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Correct Answer : A
Explanation :
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
==> {(140/100) x 5x}, {(150/100) x 7x} and {(175/100) x 8x}
==> 7x, 21x/2 and 14x.
The required ratio= 7x:21x/2:14x
==> 14x : 21x : 28x
==> 2 : 3 : 4
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Question : 5 A sum 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. 500
B. 1500
C. 2000
D. None of these
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Correct Answer : C
Explanation :
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x – 3x = 1000
x = 1000.
B’s share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
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