CA Foundation · Quantitative Aptitude · Linear Inequalities
A mobile recharge shop in Pune earns a commission of ₹3 on every recharge. Its fixed daily expense is ₹450. If x is the number of recharges per day, which inequality gives the condition for the shop to earn a daily profit of more than ₹300?
The inequality is 3x − 450 > 300. Daily profit equals total commission 3x minus the fixed expense of ₹450, and this must exceed ₹300. Adding the expense instead of subtracting it, or reversing the sign, does not represent the stated condition.
- A3x − 450 > 300Correct
- B3x + 450 > 300
- C3x − 450 < 300
- D3x > 450 − 300
Explanation
Profit = commission − fixed expense = 3x − 450. Profit exceeding ₹300 means 3x − 450 > 300, i.e. x > 250. Option 3x + 450 > 300 wrongly adds the expense to the commission.
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