logo

World's Fastest Calculating System

vm-logo
vedicmaths@outlook.in
+8748885500

Shlokas

BHASKARACHARYA II - IN LILVATI 1114 AD   Ye nirjaraa dinadinaardha thrutheeya shashtai: sampoorayanthi pruthak pruthakeva mukthaa: vaapeem yadaa yugapadeva sakhe vimukthaasthe kenavaasaralavena thadaa vadaasu   By opening 4 inlets separately, one pond gets filled respectively within 1, ½, 1/3, and 1/6 days. If all the four inlets are opened together, how much time (in fraction of the day) is required to fill the pond ?...

Read More

SREEDHARACHARYA - IN PATIGANITHA 900 AD   Mudgaanaam kudavaa: saptha labhyanthe navabhi: pane: panena kudavasyaardham thandulaanaamavaapyathe thatha: panathrayam saardham gruheethvaaasu vaningmama thandulaanaam prayacchaamsa mudgaanaam cha dvisangunam   7 kudavas (unit of measurement) of mudga are obtained for 9 panas and ½ kudava of rice is obtained for one pana. Then O! merchant take 3½ panas and quickly give me one part of rice and two parts of mudga.  ...

Read More

SREEDHARACHARYA - IN PATIGANITHA 900 AD   Sankalithakruthighanaanaam sankalithasamaasamaanaam me kathaya shannaam sakhe padaanaam ganayithvaa yadivijaanaasi   Friend, if you know, then say after calculation (i) the sum of successive sum of 6 natural numbers (ii) the sum of the squares of the first 6 natural numbers and (iii) the sum of the cubes of first 6 natural numbers.    ...

Read More

BHASKARACHARYA I - ARYABHATEEYA BHASHYA 628 AD   Chathurasraghanaschithaya: panchachathurnavastharaa vinirdesyaa: ekaavaghatithaasthaa: samachathura sreshtakaa: kramasa: There are three pyramidal piles having 5, 4 and 9 cuboidal layers. They are cuboidal bricks (of unit dimension) with one brick in the topmost layer. Find the number of bricks used in them.    ...

Read More

BHASKARACHARYA I - ARYABHATEEYA BHASHYA 628 AD   Sapthaanaam ashtaanaam saptadasaanaam chathurbhu jaaschithaya: ekavidyaanaam vaachyam padastharaasthaa hi vargaakhyaa: There are (three pyramidal) piles on square bases having 7, 8 and 17 layers which are also squares. Say the number of units there in.    ...

Read More

ARYABHATA I - ARYABHATEEYA 499 AD   Bhakthe vilomavivare gathiyogenaanulomavivare dvow gathyantharena labdow dviyogakaalaavatheethaishyow   Whenever two bodies are travelling in the opposite directions, the distance between them is to be divided by the sum of their speeds. If they move in the same direction, the distance is to be divided by the difference of their speeds. This gives the time required for meeting of the bodies or the time elapsed after meeting...

Read More

ARYABHATA I - ARYABHATEEYA 499 AD   Bhakthe vilomavivare gathiyogenaanulomavivare dvow gathyantharena labdow dviyogakaalaavatheethaishyow   Whenever two bodies are travelling in the opposite directions, the distance between them is to be divided by the sum of their speeds. If they move in the same direction, the distance is to be divided by the difference of their speeds. This gives the time required for meeting of the bodies or the time elapsed after meeting...

Read More

VISHNU SMRUTHI 100 B.C   Atha utthamarna: adhamarnaadyathaa datthamartham gruhneeyaath dvikam thrikam chathushkam panchakam cha satham prathimaasam   The loans can be given and taken between borrower and lender. Generally charged interest rates are 2, 3, 4, or 5% per month.   Sa paadapanaa dharmyaa maasavruddhi: panassathasya panchapanaa vyaavaharikee Reasonable (dharmic) rate of interest is 1.25% per month (i.e 15% per annum) on the transactions with common man for non commercial purposes. But for commercial purposes (for making profit...

Read More

SRIDHARACHARYA IN PATIGANITA 990 AD   Maasena sathasya phalam panchaiko bhavyakerdhamaya vruttho lekhakapaado varshe panchaadika navasatheemisram   The rate of interest being 5% per month, the commission of surety 1% per month, fee for accountant ½% and charges of the scribe 1/4% per month, certain sum amounts to 905 a year. Find the capital, the interest and the shares of the surety?...

Read More

VISHNUSMRUTHI 100 BC   Kutumbaarthamasakthena gruheetham vyaadhithena vaa upaplava nimittham cha vidyaathaapalkrutham thath kanyaavaivahikam chaiva prethakaaryeshu yathkrutham ethath sarvam pradaathavyam kutumbena krutham prabho   Loans are taken for meeting the expenditure connected with economic problems due to family burden, health problems, treatment, education, expenditure during accident, marriage of daughter, for performing rituals connected with the demise of the family members, etc....

Read More