Math New Drill (Level 1) : Ratios and proportions 10% discounted list price

I set the list price with 15 % profit on the cost price of a certain article. 

But it did not be sold. 

Then I decided to sell at 2070 yen which is 10 % discount of the list price. 

Find the cost price.



Answer
2000 yen

Solution
Assuming the cost price is 1, list price = 1 × (1 + 0.15) = 1.15.

1.15 × ( 1 - 0.1) = 1.035 = 2070 yen

1 = 2070 / 1.035 = 2000 yen.