Sangrama Adhyaya 5 Sutra 13 - Arthashastra | Sanskrit | Vedapath

Sutra 13

Devanagari script

पञ्चचत्वारिंशदेवं रथा रथव्यूहे भवन्ति द्वे शते पञ्चविंशतिश्चाश्वाः षट्शतानि पञ्चसप्ततिश्च पुरुषाः प्रतियोधारः तावन्तः पादगोपाः ॥ कZ_१०.५.१३ ॥

Transliteration

pañcacatvāriṃśad evaṃ rathā rathavyūhe bhavanti dve śate pañcaviṃśatiś cāśvāḥ ṣaṭśatāni pañcasaptatiś ca puruṣāḥ pratiyodhāraḥ tāvantaḥ pādagopāḥ

Translation

एवं रथव्यूहे पञ्चचत्वारिंशद् रथाः भवन्ति, द्वे शते पञ्चविंशतिश्च अश्वाः, षट्शतानि पञ्चसप्ततिश्च पुरुषाः प्रतियोधारः, तावन्त एव पादगोपाश्च।

Word by Word

पञ्चचत्वारिंशत्forty-five

एवम्thus; in this manner

रथाःchariots

रथव्यूहेin the chariot-formation (battle array)

भवन्तिare; become; amount to

द्वेtwo

शतेhundreds (two hundred)

पञ्चविंशतिःtwenty-five

चand

अश्वाःhorses

षट्six

शतानिhundreds (six hundred)

पञ्चसप्ततिःseventy-five

चand

पुरुषाःmen; personnel

प्रतियोधारःcounter-combatants; fighters (assigned to engage the enemy)

तावन्तःas many (the same number)

पादगोपाःfoot-guards; infantry guards

Entities Mentioned

45 chariots

225 horses

675 fighters

675 foot-guards

What ratio logic is implied by 45 chariots → 225 horses → 675 fighters?

A scalable establishment table: 5 horses per chariot and 3 fighters per horse, producing predictable totals for planning.

Why state totals explicitly if ratios already exist?

Totals reduce calculation errors in mobilization and auditing, and serve as a canonical ‘authorized strength’ benchmark.