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 Rs. 14000, then what is Tripti's share?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs.6000.
Given:
Tripti can construct a divider alone = 4 days
Rajan can construct it alone = 3 days
Earnings of Tripti and Rajan = Rs. 14000
Concept Used:
Total work = Efficiency × Time
The earnings are distributed in the ratio of their efficiencies.
Explanation:
Let's assume the total work be LCM of 4 and 3 = 12
Efficiency of Tripti = 12/4 = 3
Efficiency of Rajan = 12/3 = 4
They construct it together and get a payment of Rs. 14000
So, the payment of Tripti = [14000/( 4 + 3)] × 3
⇒ 2000 × 3 = Rs 6000