Question

Цена товара выросла на 15 процентов а затем снизилась на 10 процентов после чего стала стоить 105 рублей какова была первоначальная цена товара

Answer 1

(x+0,15)(x-0,1)=105
x^2-0,1x+0,15x-0,015=105

Answer 2

Calculation of the Initial Price of the Product

To calculate the initial price of the product, we can work backwards from the final price of 105 rubles after the price increase and subsequent decrease.

Let's assume the initial price of the product is X rubles.

1. The price of the product increased by 15%, which can be expressed as 1.15 times the initial price: 1.15X. 2. The price then decreased by 10%, which can be expressed as 0.9 times the increased price: 0.9 * 1.15X.

According to the information given, the final price of the product is 105 rubles. Therefore, we can set up the equation:

0.9 * 1.15X = 105

To find the initial price, we can solve this equation:

X = 105 / (0.9 * 1.15)

Calculating this expression gives us the initial price of the product.

Let's perform the calculation to find the initial price: