A state bears 60% of the cost of a village road and the village panchayat bears the rest. The panchayat's share works out to ₹5,60,000. How much does the state bear?

The panchayat bears 100 - 60 = 40% of the cost, so 0.40 $x$ cost = 5,60,000 and the cost is ₹14,00,000. The state's 60% is then $0.60\times 14,00,000$ = ₹8,40,000. Check: 8,40,000 + 5,60,000 = 14,00,000. ₹14,00,000 is the whole cost, not the state's part. ₹9,33,333 divides 5,60,000 by 0.60, using the state's rate on the panchayat's amount. ₹3,36,000 takes 60% OF the panchayat's ₹5,60,000 - the wrong base again.