A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for

A) \( \Large 24\frac{1}{2} \) days

B) 12 days

C) \( \Large 12\frac{1}{4} \) days

D) 14 days

Correct Answer:
B) 12 days

Description for Correct answer:
A's 1 day's work = \( \Large \frac{1}{21} \)

B's 1 day's work = \( \Large \frac{1}{28} \)

Therefore, Same money is sufficient to pay the wages of both for

= \( \Large \frac{1}{\frac{1}{21}+\frac{1}{28}} \)

= \( \Large \frac{21 \times 28}{21+28} = \frac{21 \times 28}{49} = 3 \times 4 \) = 12 days

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