पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/३३४

136 GANITASĀRASANGRAHA. An example in illustration thereof. 155 and 156. The original price of one piece of sandalwood and one piece of ugaru wood, they being together 20 palas (in weight), is 104 panas; when after a time they were sold with their prices mutually altered, 116 panus were obtained. You give out their buying and selling rates and the numerical measure of the commodities, taking 6 and 8 separately as the optional (number) needed by the rule. The rule for arriving at the distance in yojanas travelled by the horses of the sun's chariot when yoked as desired :- 157. The number representing the total yojanas, divided by the total number of horses, gives the yojanas (which cach has at a stage to travel) in turu These yojanas, as multiplied by the optionally chosen number of horses to be yoked, give the measure of the distance to be travelled over by each horse. An example in illustration thereof. 158. It is well-known that the horses belonging to the sun's chariot are 7 Four horses (have to) drag it along, being harnessed to the yoke. They have to do a journey of 70 yojanas. How many times are they, unyoked and how many times yoked (again) in four ? The rule for arriving at the value of the commodity to be found in the hands of each (of a body of joint proprietors), from the conjoint remainder left after subtracting whatever is desired from the total value of all the commodities:- 159. Let the sum (of the values of the conjoint remainders) of the commodities be divided by the number of men lessened by one; the quotient will be the total value of all the commodities (owned in common). This total value as diminished by the specified values gives (in the corresponding cases) the value of commodity in the hands (of each of the proprietors in turn). An example in illustration thereof. 160 to 162. Four merchants who had invested their money in common were asked each separately by the customs officer what the value of the commodity (they were dealing in) was; and one