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 Rs. 14000, then what is Tripti's share?

• A. Rs. 8000
• B. Rs. 7000
• C. Rs. 5000
• D. Rs. 6000

Answer 1

Answer:

D. Rs. 6000

Solution: Given: Tripti can construct a divider alone in 4 days, Rajan in 3 days. Total payment = Rs. 14,000. Concept: The share of each person is proportional to the amount of work they do. Calculation: Tripti's work rate = 1/4 per day Rajan's work rate = 1/3 per day Total work rate = 1/4 + 1/3 ⇒ 7/12 per day Therefore, Tripti's share = Rs. 14,000 × (1/4 ÷ 7/12) ⇒ Rs. 6,000 Hence, Tripti's share is Rs. 6,000.