Math New Drill : Level 1 : Ratios and Proportions Problem1(4) JOHOKUSAITAMA-2014

When a certain product is sold at a regular price, the profit is 45 yen per one piece.
The profit when selling 8 pieces at the price of 15 percent discount of the regular price and the profit when selling 12 pieces at the price of reducing 35 yen from the regular price are same.
Find the regular of this product.


Answer
200 yen

Solution
In case reducing 35 yen from the regular price, the profit is to be 45 - 35 = 10 yen per product.
10 × 12 = 120 yen which is total profit in case selling 8 pieces at the price of 15 percent discount.
The profit per product is 120 / 8 = 15 yen. 45 - 15 = 30 yen is equivalent to 15% of the regular price.
Therefor the regular price is 30 / 0.15 = 200 yen.