College A meets 18% of its yearly running cost from fees and college B meets 30% of its yearly running cost from fees. Each college collects exactly ₹54,000 in fees. Taken together, what is the yearly running cost of the two colleges?

Equal rupees on different rates mean unequal costs. A: 0.18 $x$ cost = 54,000, so cost = ₹3,00,000. B: 0.30 $x$ cost = 54,000, so cost = ₹1,80,000. Together ₹4,80,000. Notice the SMALLER rate belongs to the LARGER cost. ₹1,20,000 is the gap between the two costs, not their total. ₹1,12,500 is 54,000/0.48, adding the two rates as though one fee sat on one combined cost, and ₹2,25,000 is that same slip with both fees added first (1,08,000/0.48).