Directions: In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer (a) x ≥ y (b) x ≤ y (c) x y (e) x = y or Relationship between x and y cannot be established A and B entered into a partnership, investing Rs. 16000 and Rs. 12000 respectively. After 3 months, 'A' withdraw Rs. 5000, while B invested Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21,000. After an year, they obtained a profit of Rs. 26400. (x) B's share in the profit (y) Share of C's profit.

Using the partnership formula, the profit ratio is the product of investment and time. A's effective capital is (16000 * 3) + (11000 * 9) = 147000. B's effective capital is (12000 * 3) + (17000 * 9) = 189000. C's effective capital is 21000 * 6 = 126000. The ratio of their profit shares is 147:189:126, which simplifies to 7:9:6. B's share is (9/22) * 26400 = 10800 and C's share is (6/22) * 26400 = 7200. Since 10800 is greater than 7200, x is greater than y.

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