1. **State the problem:** A 180-day non-interest-bearing note for 6000 dated 10 January 2026 is discounted on 5 April 2026 at a bank charging 9% discount. We need to find the proceeds. 2. **Identify key information:** - Face value (F) = 6000 - Note period = 180 days - Date of note = 10 January 2026 - Discount date = 5 April 2026 - Bank discount rate (d) = 9% per annum 3. **Calculate the number of days from discount date to maturity:** The note matures 180 days after 10 January 2026. Calculate maturity date: 10 January + 180 days = 8 July 2026 (since January has 31 days, February 28 days in 2026, March 31 days, April 30 days, May 31 days, June 30 days) Calculate days from discount date (5 April 2026) to maturity (8 July 2026): - April: 30 - 5 = 25 days - May: 31 days - June: 30 days - July: 8 days Total = 25 + 31 + 30 + 8 = 94 days 4. **Formula for bank discount:** $$\text{Discount} = F \times d \times \frac{t}{360}$$ where $F$ is face value, $d$ is discount rate, $t$ is time in days from discount date to maturity. 5. **Calculate discount:** $$\text{Discount} = 6000 \times 0.09 \times \frac{94}{360}$$ $$= 6000 \times 0.09 \times 0.2611$$ $$= 6000 \times 0.0235 = 141$$ 6. **Calculate proceeds:** Proceeds = Face value - Discount $$= 6000 - 141 = 5859$$ **Final answer:** The proceeds from discounting the note on 5 April 2026 is **5859**.