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A sum of ₹5,000 is divided into two parts such that the simple interest on the first part for \(4\frac{1}{5} \)years at \(6\frac{2} {3}\% p.a \). is double the simple interest on the second part for \( 2\frac{3}{4} \) years at 4% p.a. What is the difference between the two parts?
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Sachin alone can complete a piece of work for Rs. 8,500 in \(8\frac{1}{2}\) days. But with the help of Vishnu, the work is completed in 6 days. The share to be paid to Vishnu is:
A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then how much time will it take to go 39 km downstream and 30 km upstream?