Ratio and Proportion Questions Answers

• 15. The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is

  1. 3
  2. 4
  3. 5
  4. 6

  Answer And Explanation

  Answer: Option A

  Explanation:

  Let x is subtracted.
  Then,
  \begin{aligned}
  \frac{(6-x)}{(7-x)}< \frac{16}{21} \\
  
  21(6—x) < 16(7—x)\\
  => 5x > 14 = x > 2.8
  \end{aligned}
  
  Least such number is 3

  • View Answer
  • Comment on this question

• 16. 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

  1. 10
  2. 17
  3. 25
  4. 30

  Answer And Explanation

  Answer: Option D

  Explanation:

  \begin{aligned}
  a:b = 2:3 \\
  b:c = 5:8 = (5*\frac{3}{5} : 8*\frac{3}{5}) \\
  = 3:\frac{24}{5} \\
  a:b:c = 2:3:\frac{24}{5} \\
  = 10:15:24 \\
  b = 98*\frac{15}{49} \\
  = 30
  \end{aligned}

  • View Answer
  • Comment on this question

• 17. 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 present salary.

  1. 32000
  2. 34000
  3. 38000
  4. 40000

  Answer And Explanation

  Answer: Option C

  Explanation:

  Let the original Salaries of Ravi and Sumit is 2x and 3x.
  
  So as per question
  
  \begin{aligned}
  \frac{2x+4000}{3x+4000} = \frac{40}{57} \\
  => 57(2x+4000) = 40(3x+4000) \\
  => 6x = 68000 \\
  => 3x = 34000 \\
  
  \text{ Sumit Salary =} 3x+4000 \\
  34000 + 4000 = 38000
  
  \end{aligned}

  • View Answer
  • Comment on this question

• 18. A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B have.

  1. Rs 484
  2. Rs. 480
  3. Rs 478
  4. Rs 470

  Answer And Explanation

  Answer: Option A

  Explanation:

  In this type of question, we will first try to calculate the ratio of two persons. Once we get ratio then we can easily get our answer. So lets solve this.
  
  \begin{aligned}
  \frac{4}{15}A = \frac{2}{5}B \\
  A = \left(\frac{2}{5}*\frac{14}{4}\right)B \\
  A = \frac{3}{2}B \\
  \frac{A}{B} = \frac{3}{2} \\
  A:B = 3:2 \\
  \text{B's Share = }\frac{2}{5}*1210 = 484
  \end{aligned}

  • View Answer
  • Comment on this question

• 19. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.

  1. 2:5
  2. 2:7
  3. 5:7
  4. 5:3

  Answer And Explanation

  Answer: Option D

  Explanation:

  Let the first number is A and second number is B.
  
  As per question
  
  \begin{aligned}
  \frac{40}{100}A = \frac{2}{3}B \\
  
  \frac{A}{B} = \frac{2}{3}*\frac{100}{40} \\
  \frac{A}{B} = \frac{5}{3} \\
  => A:B = 5:3
  
  \end{aligned}

  • View Answer
  • Comment on this question

• 20. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?

  1. 23
  2. 27
  3. 31
  4. 33

  Answer And Explanation

  Answer: Option D

  Explanation:

  From question, lets assume that two numbers are 3x and 5x.
  
  \begin{aligned}
  \text{then, }\frac{3x - 9}{ 5x - 9} = \frac{12}{23}\\
  => \text{23(3x - 9) = 12(5x - 9)}\\
  => 9x = 99 \\
  => x = 11
  \end{aligned}
  So numbers are 3(11) = 33, 5(11) = 55.
  Smaller number is 33.

  • View Answer
  • Comment on this question