CA Foundation · Quantitative Aptitude · Linear Inequalities
A mobile recharge shop in Pune earns a commission of ₹3 on each recharge. The owner pays a fixed monthly rent of ₹4,500 and wants a monthly profit of at least ₹3,000. What is the minimum number of recharges he must sell in a month?
He must sell at least 2,500 recharges. Commission income must cover the rent of ₹4,500 plus the desired profit of ₹3,000, a total of ₹7,500, and dividing by ₹3 per recharge gives 2,500.
- A2,500Correct
- B1,500
- C2,000
- D1,000
Explanation
Profit = 3x − 4,500 ≥ 3,000, so 3x ≥ 7,500 and x ≥ 2,500. Check: 3 × 2,500 = 7,500; 7,500 − 4,500 = 3,000. The option 1,500 comes from ignoring the rent (4,500/3), and 1,000 from using only the profit target (3,000/3).
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