CA Foundation · Quantitative Aptitude · Linear Inequalities
A taxi company in Jaipur charges a fixed ₹60 plus ₹12 per km. Another company charges no fixed amount but ₹15 per km. For what distances is the first company cheaper?
The first company is cheaper for distances of more than 20 km. Setting 60 + 12x < 15x gives 3x > 60, so x > 20. At 20 km the fares are equal at ₹300, and below that the second company is cheaper.
- AMore than 20 kmCorrect
- BLess than 20 km
- CMore than 5 km
- DMore than 60 km
Explanation
First company is cheaper when 60 + 12x < 15x, so 60 < 3x, giving x > 20. At exactly 20 km both cost ₹300. Less than 20 km is wrong because the fixed charge then dominates and the first company costs more.
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