Question : A and B worked together and received a total of Rs. 18,000 for 15 days. A's efficiency in the work was 5 times that of B's. The daily wage of A (in Rs.) was:
Option 1: 800
Option 2: 600
Option 3: 1,200
Option 4: 1,000
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Correct Answer: 1,000
Solution :
Let the daily wage of A as Wa and the daily wage of B as Wb.
Given that A's efficiency is 5 times that of B's.
⇒ Wa = 5 × Wb
Also, given that A and B together received a total of Rs. 18,000 for 15 days.
⇒ 15 × (Wa + Wb) = 18,000
Substituting Wa = 5 × Wb into the equation,
⇒ 15 × (5 × Wb + Wb) = 18,000
⇒ Wb = Rs. 200
Therefore, the daily wage of A is:
⇒ Wa = 5 × Wb = 5 × 200 = Rs. 1,000
Hence, the correct answer is 1,000.
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