CA Foundation · Quantitative Aptitude · Linear Inequalities
Ramesh Traders sells a notebook at ₹40 per unit. Its fixed cost is ₹12,000 and the variable cost is ₹25 per notebook. What is the minimum number of notebooks it must sell to earn a profit of at least ₹6,000?
The firm must sell at least 1,200 notebooks. Each notebook contributes ₹15 (40 minus 25), so profit is 15x minus 12,000. For profit of at least ₹6,000, 15x must be at least ₹18,000, giving x of 1,200 or more.
- A800
- B1,000
- C1,200Correct
- D1,500
Explanation
Profit = (40 - 25)x - 12,000 = 15x - 12,000. Requiring 15x - 12,000 ≥ 6,000 gives 15x ≥ 18,000, so x ≥ 1,200. The value 800 is only the break-even quantity (12,000 ÷ 15), which ignores the target profit.
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