On a certain assembly line, the rejection rate for Hyundai i10s production was…

2024

On a certain assembly line, the rejection rate for Hyundai i10s production was 4 percent, for Hyundai i20s production 8 percent and for the 2 cars combined 7 percent. What was the ratio of Hyundais i10 production?

  1. A.

    3:1

  2. B.

    2:1

  3. C.

    1:1

  4. D.

    1:2

Attempted by 37 students.

Show answer & explanation

Correct answer: D

Solution: Let x be the number of Hyundai i10 produced and y be the number of Hyundai i20 produced.

  1. Write the combined rejection-rate equation: (0.04x + 0.08y) / (x + y) = 0.07.

  2. Multiply both sides by (x + y): 0.04x + 0.08y = 0.07x + 0.07y.

  3. Rearrange terms: 0.08y - 0.07y = 0.07x - 0.04x, so 0.01y = 0.03x.

  4. Thus y = 3x, so the ratio of Hyundai i10 to Hyundai i20 production is x:y = 1:3.

Conclusion: The correct ratio is 1:3. None of the provided answer choices (3:1, 2:1, 1:1, 1:2) equals 1:3; the choice 1:2 shown as correct in the original data is incorrect.

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