Question

В период распродажи магазин дважды снижал цены: в первый раз на 35%, а второй - на 10%. Какой была первоначальная цена куртки, если ее конечная цена после двукратного снижения стала 5400 рублей.

Answer 1

6000 - 100%         х-10%     отсюда следует  6000*10/100=6006000-600=5400 5400-100%    х-5%   отсюда 5400*5/100=270  5400-270=5130

Answer 2

Calculation of the Original Price of the Jacket

To calculate the original price of the jacket, we can work backwards from the final price after the two price reductions.

Let's assume the original price of the jacket is x rubles.

The first price reduction is 35%, which means the price is reduced to 65% of the original price: 0.65x rubles.

The second price reduction is 10%, which means the price is reduced to 90% of the previous price: 0.9 * 0.65x rubles.

According to the given information, the final price after the two reductions is 5400 rubles.

Therefore, we can set up the equation:

0.9 * 0.65x = 5400

To find the value of x, we can solve this equation:

0.9 * 0.65x = 5400

Simplifying the equation:

0.585x = 5400

Dividing both sides of the equation by 0.585:

x = 5400 / 0.585

Calculating the value of x:

x ≈ 9230.77

Therefore, the original price of the jacket was approximately 9230.77 rubles.