Book Title: Ganitasara Sangraha
Author(s): Mahaviracharya, M Rangacharya
Publisher: Government of Madras

View full book text
Previous | Next

Page 320
________________ Shri Mahavir Jain Aradhana Kendra www.kobatirth.org Acharya Shri Kailassagarsuri Gyanmandir CHAPTER VI-MIXED PROBLEMS. 123 ascetics and left 3 (fruits) as remainder. Again 3 (heaps) were (similarly divided among 11 persons, and the remainder was 5 fruits ; then again 5 of those heaps were similarly divided among 7, and there were 4 more fruits (left out) of them. O you arithmetician who know the meaning of the kuttīkära process of distribution, tell me after thinking out well the numerical measure of a heap (hero). 1281. In the interior of the forest, 3 heaps (equal in value) of pomegranates were divided (equally) among 7 travellers, leaving 1 (fruit) as remainder; 7 (of such beaps) were divided (similarly) among 9, leaving a remainder of 3 (fruits ; again) 5 (of such heaps) were (similarly) divided among 8, leaving 2 fruits as remainder. O arithmetician, what is the numerical value of a heap here). 129). There were 5 (heaps of fruits equal in numerical value), which after being combined with 2 (fruits of the same kind) were (equally) divided among 9 travellers (and left no remainder); 6 (heaps) combined with 4 (fruits) were (similarly) divided among 8 of them; and 4 (heaps) combined with 1 (fruit) were also similarly) divided among 7 of them. Give out the numerical measure (of a heap here). The rule for arriving at the original quantity distributed (as desired), after obtaining the remainder due to the removal of certain specified) known quantities :. 1301. (Ohtain) the product of the (given) known quantity (to be removed), as multiplied by the fractional proportion of what is jeft (after a specified fractional part of what remains on the removal of the given known quantity has been given away). The next quantity is (obtained by means of) this (product), to which 1309. Here the known quantity to be removed is called the agra. What remains after the removal of the agra is the remainder. That fraction of this remainder which is given or taken away is the agravea, and what is left of the remainder after the agrāmsa is given or taken away is the sērā mea or the remaining fractional proportion of the remainder. For example, where a is the quantity to be found out, and a is the agra in relation to the first distribution with $ as the fractional proportiou distributed," "happens to be the age á visa, and (x - a) – a to be the sēsā visa. For Private and Personal Use Only

Loading...

Page Navigation
1 ... 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523