Question:
"A tax is levied on 60% of the cultivated land. The revenue department collected total Rs 384000 through the tax from the village of Sukhiya. Sukhiya a very rich farmer paid only Rs 480 as tax. Percentage of total land of Sukhiya over the total taxable land of the village is what? "
Doubt:
I considered proportionality structure and got a wrong answer(0.125 %). I really do not know where I went wrong. A guided guidance about the same is most welcome.
$384000$ is the taxed price of $60$% of the total land. If Sukhiya only paid 480, he paid $0.00125$ of the tax, or $0.125$%, as you put in your answer. However, this price was only for $60$% of the total land, because the tax only covers $60$% of the land. So, from the total, you would have to do $60$% $*$ $0.125$%, leading to a total percent of $0.075$%.