64 निगरानी स्टेशनों पर पार्टिकुलेट मैटर (PM2.5) सांद्रता के एक अध्ययन में, नमूना माध्य (sample mean) 80 µg/m3 है और विचरण (variance) 256 है। यदि उसी समष्टि से 64 स्टेशनों का एक और स्वतंत्र नमूना लिया जाता है, तो दोनों नमूना माध्यों के बीच अंतर का अपेक्षित मानक विचलन (मानक त्रुटि) क्या है?

A machine was purchased on 1st April 2022 for ₹10,00,000. The company uses the Written Down Value (WDV) method of depreciation at 15% per annum. On 1st October 2024, the machine was sold for ₹6,50,000. 1. Calculate the Written Down Value of the machine on the date of sale. 2. Calculate the Profit or Loss on the sale of the machine.

A company is amortizing its Patent which was acquired for ₹12,00,000 on 1st April 2023 with a legal life of 10 years. However, the company expects the product to be obsolete in 6 years and amortizes it accordingly. On 31st March 2025, after two years of amortization, the company determines that the patent is impaired and its recoverable amount is now only ₹6,00,000. Calculate the impairment loss to be recognized on 31st March 2025.