Question : Tripti can construct a divider alone in 4 days while Rajan can construct it alone in 3 days. If they construct it together and get a payment of INR 14,000, then what is Tripti's share?
Option 1: INR 7,000
Option 2: INR 5,000
Option 3: INR 8,000
Option 4: INR 6,000
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Correct Answer: INR 6,000
Solution :
Tripti can construct a divider alone in 4 days.
Tripti's 1 day's work = $\frac{1}{4}$
Rajan can construct it alone in 3 days.
Ranjan's 1 days's work = $\frac{1}{3}$
Proportion of their shares = $\frac{1}{4}:\frac{1}{3}=3:4$
Total payment = INR 14000
Tripti's share = $14000×\frac{3}{3+4}=14000×\frac{3}{7}=6000$
Hence, the correct answer is INR 6,000.
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