I am having a problem with the following question could you guys tell me what I am doing wrong?
When the tires of a taxicab are under-inflated, the cab's odometer will read $10\%$ over the true mileage. If the odometer of a cab with under-inflated tires read $m$ miles, what is the actual distance driven? (answer = $10m/11$)
Here is how I am doing it: $$ m = m - \frac{10m}{100}$$ $$ m = \frac{9m}{10}$$
Could anyone tell me what I am doing wrong ?