To calculate the value of the investment after five years, we need to consider the annual increase due to the given pattern, the compound interest, and the effect of inflation.

Let's break down the calculation year by year:

**Year 1:**
- Initial amount: Rs. 62,000
- Increase by 1/8th: Rs. 62,000 * (1 + 1/8) = Rs. 62,000 * (8/8 + 1/8) = Rs. 62,000 * (9/8) = Rs. 69,750
- Compound interest at 5%: Rs. 69,750 * (1 + 0.05) = Rs. 69,750 * 1.05 = Rs. 73,237.50
- Inflation at 3%: Rs. 73,237.50 / (1 + 0.03) = Rs. 73,237.50 / 1.03 ≈ Rs. 71,108.25

**Year 2:**
- Initial amount: Rs. 71,108.25
- Increase by 1/7th: Rs. 71,108.25 * (1 + 1/7) = Rs. 71,108.25 * (7/7 + 1/7) = Rs. 71,108.25 * (8/7) ≈ Rs. 81,265.14
- Compound interest at 5%: Rs. 81,265.14 * 1.05 ≈ Rs. 85,328.40
- Inflation at 3%: Rs. 85,328.40 / 1.03 ≈ Rs. 82,844.66

**Year 3:**
- Initial amount: Rs. 82,844.66
- Increase by 1/6th: Rs. 82,844.66 * (1 + 1/6) = Rs. 82,844.66 * (6/6 + 1/6) = Rs. 82,844.66 * (7/6) ≈ Rs. 97,325.44
- Compound interest at 5%: Rs. 97,325.44 * 1.05 ≈ Rs. 102,191.71
- Inflation at 3%: Rs. 102,191.71 / 1.03 ≈ Rs. 99,214.08

**Year 4:**
- Initial amount: Rs. 99,214.08
- Increase by 1/5th: Rs. 99,214.08 * (1 + 1/5) = Rs. 99,214.08 * (5/5 + 1/5) = Rs. 99,214.08 * (6/5) = Rs. 119,056.90
- Compound interest at 5%: Rs. 119,056.90 * 1.05 ≈ Rs. 125,009.75
- Inflation at 3%: Rs. 125,009.75 / 1.03 ≈ Rs. 121,368.30

**Year 5:**
- Initial amount: Rs. 121,368.30
- Increase by 1/4th: Rs. 121,368.30 * (1 + 1/4) = Rs. 121,368.30 * (4/4 + 1/4) = Rs. 121,368.30 * (5/4) = Rs. 151,710.38
- Compound interest at 5%: Rs. 151,710.38 * 1.05 ≈ Rs. 159,295.90
- Inflation at 3%: Rs. 159,295.90 / 1.03 ≈ Rs. 154,655.73

Therefore, the value of the investment after five years, considering the annual increase, interest rates, inflation, and the irregular pattern of increase, would be approximately Rs. 154,655.73.
5년 후 투자 가치를 계산하려면 주어진 패턴, 복리, 인플레이션의 영향을 고려해야 합니다.

연도별로 계산을 세분화해 보겠습니다:

**1년차:**
- 초기 금액: Rs. 62,000
- 1/8로 증가: Rs. 62,000 * (1 + 1/8) = Rs. 62,000 * (8/8 + 1/8) = Rs. 62,000 * (9/8) = Rs. 69,750
- 5%의 복리: Rs. 69,750 * (1 + 0.05) = Rs. 69,750 * 1.05 = Rs. 73,237.50
- 3%의 인플레이션: Rs. 73,237.50 / (1 + 0.03) = Rs. 73,237.50 / 1.03 ≈ Rs. 71,108.25

**2년차:**
- 초기 금액: Rs. 71,108.25
- 1/7로 증가: Rs. 71,108.25 * (1 + 1/7) = Rs. 71,108.25 * (7/7 + 1/7) = Rs. 71,108.25 * (8/7) ≈ Rs. 81,265.14
- 5%의 복리: Rs. 81,265.14 * 1.05 ≈ Rs. 85,328.40
- 3%의 인플레이션: Rs. 85,328.40 / 1.03 ≈ Rs. 82,844.66

**3년차:**
- 초기 금액: Rs. 82,844.66
- 1/6로 증가: Rs. 82,844.66 * (1 + 1/6) = Rs. 82,844.66 * (6/6 + 1/6) = Rs. 82,844.66 * (7/6) ≈ Rs. 97,325.44
- 5%의 복리: Rs. 97,325.44 * 1.05 ≈ Rs. 102,191.71
- 3%의 인플레이션: Rs. 102,191.71 / 1.03 ≈ Rs. 99,214.08

**4년차:**
- 초기 금액: Rs. 99,214.08
- 1/5로 증가: Rs. 99,214.08 * (1 + 1/5) = Rs. 99,214.08 * (5/5 + 1/5) = Rs. 99,214.08 * (6/5) = Rs. 119,056.90
- 5%의 복리: Rs. 119,056.90 * 1.05 ≈ Rs. 125,009.75
- 3%의 인플레이션: Rs. 125,009.75 / 1.03 ≈ Rs. 121,368.30

**5년차:**
- 초기 금액: Rs. 121,368.30
- 1/4로 증가: Rs. 121,368.30 * (1 + 1/4) = Rs. 121,368.30 * (4/4 + 1/4) = Rs. 121,368.30 * (5/4) = Rs. 151,710.38
- 5%의 복리: Rs. 151,710.38 * 1.05 ≈ Rs. 159,295.90
- 3%의 인플레이션: Rs. 159,295.90 / 1.03 ≈ Rs. 154,655.73

따라서 연간 증가, 이자율, 인플레이션 및 불규칙한 증가 패턴을 고려한 5년 후 투자 가치는 약 Rs. 154,655.73이 될 것입니다.