Question : A can construct a divider alone in 60 days, while B alone can construct it in 80 days. If they construct it together and get Rs. 7000, then what is B's share?
Option 1: Rs. 2880
Option 2: Rs. 3000
Option 3: Rs. 3500
Option 4: Rs. 3200
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Correct Answer: Rs. 3000
Solution :
According to the question,
If a man can do the work in $n$ days, then one day work of man = $\frac{1}{n}$.
So, A's rate = $\frac{1}{60}$ per day
And B's rate = $\frac{1}{80}$ per day
⇒ Combined rate = $\frac{1}{60}$+$\frac{1}{80}$ = $\frac{4}{240}$ + $\frac{3}{240}$ = $\frac{7}{240}$
⇒ B’s share = $\frac{\frac{1}{80}}{\frac{7}{240}}$ × 7000 = $\frac{3}{7}$ × 7000 = 3000
Hence, the correct answer is Rs. 3000.
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