CA Foundation · Quantitative Aptitude · Linear Inequalities
A shop sells pens at ₹10 each (x pens) and notebooks at ₹30 each (y notebooks). Rohan can spend at most ₹300. If he must buy at least 2 notebooks, how many pens can he buy at most?
Rohan can buy at most 24 pens. With at least 2 notebooks he must spend at least ₹60 on them, leaving ₹240 of the ₹300 budget. At ₹10 per pen, this allows a maximum of 24 pens.
- A24Correct
- B30
- C20
- D27
Explanation
Constraint: 10x + 30y ≤ 300 with y ≥ 2. Minimum notebook spend is 60, leaving 240 for pens, so x ≤ 24. Taking y=0 and getting 30 ignores the minimum notebook condition.
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