In an automated plant assembly line, the rate of rejection of components was $10 %$ on July $1^{s t}$ and $6 %$ on July $2^{n d}$ . The combined rate of rejection for the two days was $9 %$ . The ratio of production volumes on July 1st and on July 2nd is

2:1

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3 : 2

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3 : 1

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None of these

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Solution

The correct option is C
3 : 1

Approach 1: Conventional Approach
Ans. (c) Let the production on July 1st and on July 2nd be X and Y units respectively.
Therefore, Rejection on July 1st = 0.1 X
Rejection on July 2nd = 0.06 Y
Therefore, Total rejection = 0.1 X + 0.06 Y = 0.09 (X + Y). Hence, X : Y = 3 : 1

Required ratio is 3:1.
Option (c)

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In an automated plant assembly line, the rate of rejection of components was 10% on July 1st and 6% on July 2nd . The combined rate of rejection for the two days was 9%. The ratio of production volumes on July 1st and on July 2nd is

In an automated plant assembly line, the rate of rejection of components was $10 %$ on July $1^{s t}$ and $6 %$ on July $2^{n d}$ . The combined rate of rejection for the two days was $9 %$ . The ratio of production volumes on July 1st and on July 2nd is