Question

Цена изделия снизили на 10% а затем новую цену снизили еще на 20% после этих двух снижения стоимости в деле оказалась равной 720руб Найдите первоначальную стоимость изделия

Answer 1

Первоначальная стоимость-x
(x-0,1x)-0,2(x-0,1x)=720
0,9x-0,18x=720
0,72x=720|:0,72
x=1000(р)

Answer 2

Calculation of the Initial Cost of the Item

To find the initial cost of the item, we need to reverse the two successive discounts of 10% and 20% and determine the original price.

Let's assume the initial cost of the item is x.

The first discount of 10% reduces the price by 10% of the original cost, resulting in a new price of 0.9x.

The second discount of 20% reduces the price by 20% of the new price, which is 0.2 * 0.9x = 0.18x.

After these two discounts, the final cost of the item is given as 720 rubles.

So, we can set up the equation:

0.9x - 0.18x = 720

Simplifying the equation:

0.72x = 720

Dividing both sides of the equation by 0.72:

x = 1000

Therefore, the initial cost of the item was 1000 rubles.