Answer:**Year 1*** **Initial Capital:** * Riya: $45,000 * Syed: $25,000* **Profit Sharing Ratio:** 3:2* **Net Income:** $100,000* **Profit Distribution:** * Riya: ($100,000 * 3/5) = $60,000 * Syed: ($100,000 * 2/5) = $40,000* **Ending Capital:** * Riya: $45,000 + $60,000 = $105,000 * Syed: $25,000 + $40,000 = $65,000**Year 2*** **Ken Joins:** * Ken invests $20,000* **New Profit Sharing Ratio:** 3:2:1* **Net Income:** $150,000* **Profit Distribution:** * Riya: ($150,000 * 3/6) = $75,000 * Syed: ($150,000 * 2/6) = $50,000 * Ken: ($150,000 * 1/6) = $25,000* **Ending Capital:** * Riya: $105,000 + $75,000 = $180,000 * Syed: $65,000 + $50,000 = $115,000 * Ken: $20,000 + $25,000 = $45,000**Year 3*** **Sam Joins:** * Sam invests $20,000* **New Profit Sharing Ratio:** 3:2:1:1* **Net Income:** $175,000* **Profit Distribution:** * Riya: ($175,000 * 3/7) = $75,000 * Syed: ($175,000 * 2/7) = $50,000 * Ken: ($175,000 * 1/7) = $25,000 * Sam: ($175,000 * 1/7) = $25,000* **Ending Capital:** * Riya: $180,000 + $75,000 = $255,000 * Syed: $115,000 + $50,000 = $165,000 * Ken: $45,000 + $25,000 = $70,000 * Sam: $20,000 + $25,000 = $45,000**Riya's Retirement*** **Revised Profit Sharing Ratio:** 2:2:1 (Syed, Ken, Sam)* **Riya's Capital Settlement:** * Riya's capital: $255,000 * Settlement based on 2:2:1 ratio: * Syed: ($255,000 * 2/5) = $102,000 * Ken: ($255,000 * 2/5) = $102,000 * Sam: ($255,000 * 1/5) = $51,000**Ending Capital After Riya's Retirement:*** Syed: $165,000 + $102,000 = $267,000* Ken: $70,000 + $102,000 = $172,000* Sam: $45,000 + $51,000 = $96,000mportant Note: The information provided does not include details about the year 3 ending capital. The provided information only covers the capital distribution upon Riya's retirement.