Book Title: Ganitasara Sangraha of Mahavira
Author(s): Rangacharya
Publisher: Rangacharya

Previous | Next

Page 313
________________ CHAPTER VI-KIXED PROBLEMS. 111 as praksēpaka, give out the proportionate distribution of the flowers. 861. (A sum of) 480 was divided among five mon in the proportion of 2, 3, 4, 5 and 6 ; 0 friend, give ont (the sbare of each). Che rule for arriving at certain) results in required proportions : 87!. The number representing tho) rate-price is divided by (the number representing) the thing purchasable thorewith ; (it) is (then) multiplied by the (given) proportional number; by means of this, (we got at) the sum of the proportionate parts, (through) the procese of addition. Then the given amount multiplied by tho (respective) proportionate parts and then divided by this om of) the proportionate parts gives rime to the value (of the various things in the required proportion). Another rule for this (name) purpose :- 881. Multipls the numbers representing the rute-priocs (respectively) by the numbers representing the (given) proportions of the (various) things to be purchased); theu divide (the result) by the respective numbers measuring the things purchasable for the rate-price ; the resulting quantities bappeu to be tho (reynisite) multipliers in the operation of pralinipaka. The intelligent man may (then) give out the required Answer by adopting the rule-of-three. Agaiu a rule for this (same) purpose : 891. The numbers representing the various) ralr-prices are respectively divided by their own related (numbers representing the) things purchasable therefor and are (then) multiplied by their related proportional numbers. With the help of these, the remainder (of the operation should be carriol ont) in before. $7to 89. Tu working the example in tanzA 90 and 1 ceording to those rules 3, 3 and 5 are divided by 8.5 and 7 respectively and are similarly multi. plied hy 6,3 and 1. Thus we have 6, 3, 14, . These arv the proportional part. The roles in tanzas y nod ng; require thereafter the operation of praki pu to be applied in relation to tbree proportional parts ;) but the rulo in tanza 871 expressly describes this operation.

Loading...

Page Navigation
1 ... 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531