# How to solve this percentage problem?

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.

• Perhaps the key is "total land of Sukhiya" vs. "total taxable land of the village" - so in his case we use all land, and for village only taxable, so you would be off by a factor of $60\%$ Aug 3, 2021 at 3:24
• I could not really get you can you show me a few steps? Aug 3, 2021 at 3:25
• You should really accept Alex K's answer Aug 3, 2021 at 13:49

$$384000$$ 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 $$0.075$$%.