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A certain sum amounts to Rs 8,192 in 3.5 years and to Rs 9,472 in 6 years, at simple interest at a certain rate percent p. a. The rate of interest p.a. and the sum are ........ and ....... respectively.

Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all the three pipes are opened simultaneously?

A and B alone can complete a piece of work in 4 days and 8 days, respectively. In how many days will the work be completed, if they both work on alternate days starting with A?

A certain numberof persons can complete a work in 34 days working 9 hours a day. If the number of persons is decreased by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days?