# पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/२६९

एतत् पृष्ठम् परिष्कृतम् अस्ति
73
CHAPTER IV--MISCELLANEOUS PROBLEMS (ON FRACTIONS).

to the east and those that went to the south-east, diminished by half of itself and (again) diminished by the half of this (resulting difference), went to the south : the difference between those that went to the south and those that went to the south-east diminished by ${\displaystyle {\tfrac {2}{5}}}$ of itself, went to the south-west; the difference between those that went to the south and those that went to the south-west, went to the west; the difference between those that went to the south-west and those that went to the west, together with ${\displaystyle {\tfrac {3}{7}}}$ of itself, went to the north-west; the difference between those that went to the north-west and those that went to the west, together with ${\displaystyle {\tfrac {7}{8}}}$ of itself, went to the north ; the sum of those that went to the north-west and those that went to the north, diminished by ${\displaystyle {\tfrac {2}{3}}}$ of itself, went to the north-east; and 280 parrots were found to remain in the sky (above). How many were the parrots (in all) ?

17 to 22. One night, in a month of the spring season, a certain young lady . . . . was lovingly happy along with her husband on . . . . the foor of a big mansion. white like the moon, and situated in a pleasure-garden with trees bent down with the load of the bunches of flowers and fruits, and resonant with the sweet sounds of parrots, cuckoos and bees which were all intoxicated with the honey obtained from the flowers therein. Then on a love-quarrel arising between the husband and the wife, that lady's necklace made up of pearls became sundered and fell on the floor. One-third of that necklace of pearls reached the maid-servant there; ${\displaystyle {\tfrac {1}{3}}}$ fell on the bed: then ${\displaystyle {\tfrac {1}{2}}}$ of what remained (and one-half of what remained thereafter and again ${\displaystyle {\tfrac {1}{2}}}$ of what remained thereafter) and so on, counting six times (in all), fell all of them everywhere; and there were found to remain (unscattered) 1,161 pearls; and if you know (how to work) miscellaneous problems (on fractions), give out the (numerical) measure of the pearls (in that necklace).

23 to 27. A collection of bees characterized by the blue color of the shining indranīla gem was seen in a flowering pleasure-

17. Certain epithets here have not been considered fit for translation.