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 Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, (x) Find the share of Shyam in the profit. (y) Find the share of Ram.

Let Ram and Shyam invest 4x and 5x. Ram's effective investment for the year is 4x * 8 = 32x. Shyam's effective investment is 5x * 6 + 10x * 6 = 90x. The ratio of their profits is 32 : 90. Ram's share is 24400 * 32 / 122 = Rs. 6400, so y = 6400. Shyam's share is 24400 * 90 / 122 = Rs. 18000, so x = 18000. Therefore, x is greater than y.

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