Step 1: Calculate total stock value.
Book value of stock = Rs 50,000.
Step 2: Value of half stock sold with 20% discount.
Half stock = Rs 50,000 ÷ 2 = Rs 25,000.
Discount = 20% of 25,000 = Rs 5,000.
Cash realized = 25,000 – 5,000 = Rs 20,000.
Step 3: Value of remaining half taken over at 10% discount.
Remaining stock = Rs 25,000.
Discount = 10% of 25,000 = Rs 2,500.
Value taken over = 25,000 – 2,500 = Rs 22,500.
Step 4: Cash received in realization.
Cash portion = Rs 20,000.
Partner's takeover (not cash) = Rs 22,500.
Total cash realized = Rs 20,000 + Rs 22,500 = Rs 42,500.
Final Answer: \[\boxed{\text{Rs. 42,500}}\]