During the Mughal era, the village Panchayat served as an important local institution responsible for administering justice, managing community affairs, and representing the concerns of the rural population.
The Panchayat was typically composed of respected elders from the village community, including the muqaddam (village headman) and the patwari (village record keeper). It settled disputes related to land, caste issues, thefts, and domestic conflicts.
The Panchayat acted as a collective voice for the villagers, especially in dealings with local officials such as revenue collectors (zamindars) or Mughal amils. It often resisted unjust taxes or exploitation.
Panchayats upheld village customs, regulated water usage, land sharing, and forest access. This role ensured that the customary rights of peasants were protected against encroachment.
During famines, invasions, or revenue failure, Panchayats negotiated relief, organized community resources, and appealed to authorities for help. They acted as mediators between the state and rural society.
Thus, Panchayats during the Mughal era were more than just judicial bodies—they were vital grassroots institutions that advocated for and protected the rights and interests of common people in rural India.
Rishika and Shivika were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March, 2024 stood as follows:
Balance Sheet of Rishika and Shivika as at 31st March, 2024
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Capitals: | Equipment | 45,00,000 | |
| Rishika – ₹30,00,000 Shivika – ₹20,00,000 | 50,00,000 | Investments | 5,00,000 |
| Shivika’s Husband’s Loan | 5,00,000 | Debtors | 35,00,000 |
| Creditors | 40,00,000 | Stock | 8,00,000 |
| Cash at Bank | 2,00,000 | ||
| Total | 95,00,000 | Total | 95,00,000 |
The firm was dissolved on the above date and the following transactions took place:
(i) Equipements were given to creditors in full settlement of their account.
(ii) Investments were sold at a profit of 20% on its book value.
(iii) Full amount was collected from debtors.
(iv) Stock was taken over by Rishika at 50% discount.
(v) Actual expenses of realisation amounted to ₹ 2,00,000 which were paid by the firm. Prepare Realisation Account.
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).
