WBCS.LIVE practice question

If X : Y = 4 : 7, the ratio of 21X + 2Y : 7X + 4Y is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 7 : 4
  2. 3 : 8
  3. 2 : 9
  4. 1 : 4

Correct answer and explanation

Correct answer: 7 : 4

Explanation: āœ… Correct Answer: A. 7 : 4 šŸ“š Explanation: To find the ratio, substitute X = 4 and Y = 7 into the expression (21X + 2Y) : (7X + 4Y). This gives (21 * 4 + 2 * 7) : (7 * 4 + 4 * 7). The calculation results in (84 + 14) : (28 + 28), which is 98 : 56. Dividing both numbers by 14 gives the final simplified ratio of 7 to 4.