Total number of bricks manufactured by company A = 100x
Total number of unbaked bricks manufactured by company A = 45% of 100x = 45x
Total number of sold bricks by company A = (100x - 45x)*120/(100+120) = 30x
Total number of sold bricks by company B = 30x
Total number of unbaked bricks manufactured by company B = (35/65) * (100 + 30)/30 *30x = 70x
Total number of unbaked bricks manufactured by company A and B together = 45x + 70x = 115x
I: 115x = 4600 => x = 40
II: 115x = 7200 => x = 62.608.. (not possible because the number of bricks should be integer)
III: 115x = 5600 => x = 48.695.. (not possible because the number of bricks should be integer)
Hence, option 'a' is correct.
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