1. **State the problem:** Lim issues a promissory note on 15 March 2026 for 5000 at 6% simple interest per annum with a term of 120 days. We need to find (a) the maturity date and (b) the maturity value.
2. **Find the maturity date:**
The maturity date is the date when the note is due, which is 120 days after 15 March 2026.
- Starting from 15 March 2026, add 120 days.
- March has 31 days, so days remaining in March after 15 March = 31 - 15 = 16 days.
- Subtract these 16 days from 120: 120 - 16 = 104 days left.
- April has 30 days, subtract 30: 104 - 30 = 74 days left.
- May has 31 days, subtract 31: 74 - 31 = 43 days left.
- June has 30 days, subtract 30: 43 - 30 = 13 days left.
- So, 13 days into July.
Therefore, the maturity date is 13 July 2026.
3. **Calculate the maturity value:**
- Formula for simple interest: $$I = P \times r \times t$$
- Where $P = 5000$, $r = 6\% = 0.06$ per annum, and $t$ is time in years.
- Since the term is 120 days, convert to years: $$t = \frac{120}{365}$$
Calculate interest:
$$I = 5000 \times 0.06 \times \frac{120}{365}$$
Simplify:
$$I = 5000 \times 0.06 \times 0.32877 = 5000 \times 0.019726 = 98.63$$ (rounded to two decimals)
4. **Calculate maturity value:**
Maturity value = Principal + Interest
$$= 5000 + 98.63 = 5098.63$$
**Final answers:**
(a) Maturity date is 13 July 2026.
(b) Maturity value is 5098.63.
Promissory Note 5Fce07
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