A man sold his scooter for Rs. 8000 and lost 20% . for what amount he should have sold it to gain 20%?

Loss = 20%

Then selling price = $x-x\times \frac{20}{100}=x-\frac{x}{5}=\frac{4x}{5}$

And the given selling price of scooter is Rs.8000. So we have;

$\frac{4x}{5}=8000\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{8000\times 5}{4}=10000$

So the cost price of scooter is Rs.10000.

For a gain of 20%; Selling price = $10000+10000\times \frac{20}{100}=10000+2000=12000$

Therefore selling price of scooter should be Rs.12000 to gain 20%.

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