Question:

A mess contractor can either serve 450 students with the meal that he prepares or can cater to 270 cops with the same meal. If 300 students have already eaten in the mess, how many cops can be fed with the remaining meal?

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In “same meal for two groups” problems, convert everything to one unit (e.g., student-meals), then use ratios to switch groups.
Updated On: Aug 13, 2025
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The Correct Option is C

Solution and Explanation

Treat the total prepared meal as a fixed resource.
Capacity equivalence: $450$ student-meals $=$ $270$ cop-meals, so one cop consumes $450/270=5/3$ times as much as one student.
Students already fed: $300$ student-meals; remaining resource $=450-300=150$ student-meals.
Convert to cops: $150 \div (5/3)=150 \times \dfrac{3}{5}=90$ cops.
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