Question

СРОЧНО, помогите пожалуйста. цену товара сначала увеличили на 20%, а затем уменьшили на 20%, после чего она стала 6720 рублей. найдите первоначальную цену товара.

Answer 1

6720-80процентов

х-20процентов

находим х крест накрест.

х=6720*20/80=1680

6720+1680=8400-цена которую увеличили на 20 процентов

8400-120процентов

х-100процетров

опять находим х крест накрест

х=8400*100/120=7000

Answer 2

х - стоил товар

х + 0,2х = 1,2х (стоило после того, как увеличили)
1,2х - 0.2(1,2х) = 1,2х*0,8 = 0,96х (єто когда цену снизили уже, и стало стоить 6720р.)
0,96х = 6720, тогда х = 7000

Answer 3

Calculating the Initial Price of the Product

To find the initial price of the product, which was first increased by 20% and then decreased by 20% to reach 6720 rubles, we can use the following steps:

1. Let's assume the initial price of the product is P.

2. The price was first increased by 20%, which can be represented as P + 0.20P.

3. Then, the price was decreased by 20%, which can be represented as (P + 0.20P) - 0.20(P + 0.20P).

4. This final price is given as 6720 rubles.

Calculating the Initial Price

To find the initial price P, we can use the information provided and solve for P:

6720 = (P + 0.20P) - 0.20(P + 0.20P)

Solving this equation will give us the initial price of the product.

Solution

Let's solve the equation to find the initial price of the product:

6720 = (P + 0.20P) - 0.20(P + 0.20P)

First, simplify the equation:

6720 = 1.20P - 0.20(1.20P)

6720 = 1.20P - 0.24P

Combine like terms:

6720 = 0.96P

Now, solve for P:

P = 6720 / 0.96

P ≈ 7000

So, the initial price of the product was approximately 7000 rubles.