Calendar: 1877-1878 Page 558

556 FREAKE EXHIBITIONS borrow money at and discount bills at per cent per annum how mucli must be borrowed and thus applied in the latter case in order that the pain may be equal to the former the money being borrowed and tbe bills discounted for months in each case Explain the difference between bankers' discount and true discount What is the Greatest Common Measure of 42s 2&r and δ lix 31a when χ is general and when χ certain article is now imported duty free and it is sup- posed that every penny per lb of custom duty would dimiiiish the consumption by one-tenth of the present importation What rate of duty would yield the greatest revenue Extract the square root of ab 7c be abc 10 purchaser discovering that false balance only gives him t'ls of irue measure has the second half of his pur- chase weighed in the other scale Does he on the whole gain or lose in quantity and how much per cent 11 Form the equation whose roots are β and ν Π 12 If men and boys or men and boys take the same time to do piece of work in what time will men and boys do the same It is known that men and boys would do it in halt the time taken by men and boys The relation between and is required 13 If χ ζ ζ ζ prove that χ ζ χ ζ cab 14 person spends in the 1st year η times the interest of his properly in the 2nd year times that of the remainder in the 3rd year 371 times that at the end of the 2nd year and so on at the end of It years he has nothing left show that in the th year he spends as much as he had left at the end of that