Find the value of both quantities and state the correct relationship.\newline Quantity I: Share of A, if A and B invested Rs 22000 and Rs 25000 respectively in a scheme. After half a year A reduces his investment by 50% and B reduces by 20% and they earn a profit of Rs 5200 after a year.\newline Quantity II: Share of A, if A and B invested Rs 30000 and Rs 35000 in a scheme. Both increase their investments by Rs 5000 after 8 months and they earn a profit of Rs 6150 after a year.

Quantity I: A invests Rs 22000 for 6 months at full amount, then 11000 for 6 months (50% reduction). Effective investment = 22000 × 6 + 11000 × 6 = 198000. B invests Rs 25000 for 6 months at full amount, then 20000 for 6 months (20% reduction). Effective investment = 25000 × 6 + 20000 × 6 = 270000. Ratio A:B = 198:270 = 11:15. A's share = (11/26) × 5200 = Rs 2200. Quantity II: Both invest for 8 months, then increase by Rs 5000 for 4 months. A: 30000 × 8 + 35000 × 4 = 380000. B: 35000 × 8 + 40000 × 4 = 440000. Ratio A:B = 38:44 = 19:22. A's share = (19/41) × 6150 = Rs 2850 (approx). Since 2850 > 2200, Quantity II is greater.