Question

Цену на ботинки снизили на 10% . а потом ещё на 20% . после двух уценок они стали стоить 90 гривен . какова начальная цена ботинок?

Answer 1

100% первоначальная цена
100-10=90% - цена после первого снижения
20%=0.2
90*0.2=18%
90-18=72% - цена после второго снижения
90:0.72=125 (гривен)
Ответ: начальная цена ботинок 125 гривен

Answer 2

Calculation of the Initial Price of the Boots

To calculate the initial price of the boots, we need to consider the two price reductions and the final price of 90 hryvnias.

Let's assume the initial price of the boots is x hryvnias.

The first price reduction of 10% means the boots were sold for 90% of the initial price after the first reduction. Therefore, the price after the first reduction can be calculated as 0.9x hryvnias.

The second price reduction of 20% means the boots were sold for 80% of the price after the first reduction. Therefore, the final price of 90 hryvnias can be calculated as 0.8(0.9x) hryvnias.

To find the initial price x, we can set up the equation:

0.8(0.9x) = 90

Simplifying the equation:

0.72x = 90

Dividing both sides of the equation by 0.72:

x = 90 / 0.72

Calculating the value:

x ≈ 125 hryvnias

Therefore, the initial price of the boots was approximately 125 hryvnias.