Amal purchases some pens at ₹8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹12 each. If the remaining pens are sold at ₹11 each, then he makes a net profit of ₹300, while he makes a net loss of ₹300 if the remaining pens are sold at ₹9 each. The wage of the employee, in INR, is

Options

1. (1) 600
2. (2) 800
3. (3) 900
4. (4) 1000

Correct Answer

(4) 1000

Explanation

Let total pens = n, wage = W. Revenue case 1: 100×12 + (n-100)×11 = 11n + 100. Cost: 8n + W. Profit: 11n + 100 - 8n - W = 300, so 3n - W = 200. Case 2: 100×12 + (n-100)×9 = 9n + 300. Loss: 8n + W - 9n - 300 = 300, so W - n = 600. Solving: n = 400, W = 1000.

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