Question

При покупке новой спортивной При покупке новой спортивной формы , состоящей из футболки и шортиков , выяснилось , что эта форма стоит на 40 % больше , чем 2 года назад , причем с тех пор футболка подорожала на 47 %, а шортики-на 27%.Сколько процентов составляла от стоимости футболки с шортиками 2 года назад стоимость футболки ?Помогите,пожалуйста.

Answer 1

Пусть футболка стоила 2 года назад х, а шорты у.
Футболка подорожала на х*47/100=0,47х и стала стоить х+0,47х=1,47х
Шорты подорожали на у*27/100=0,27у и стали стоить у+0,27у=1,27у
Вместе футболка и шорты подорожали на (х+у)*40/100=0,4(х+у)
и стали стоить х+у+0,4(х+у)=1,4(х+у)
С другой стороны футболка и шорты стали стоить 1,47х+1,27у
Приравняем эти выражения
1,4(х+у)=1,47х+1,27у
1,4х+1,4у=1,47х+1,27у
0,07х=0,13у
$y=\frac{0,07x}{0,13}$
Вместе футболка и шорты стоили 
$x+\frac{0,07x}{0,13}=\frac{0,13x+0,07x}{0,13}=\frac{0,2x}{0,13}$
Футболка стоила
$\frac{x}{\frac{0,2x}{0,13}}*100=\frac{0,13x}{0,2x}*100=\frac{0,13}{0,2}*100=65$ (%)
Ответ: 65 % 

Answer 2

Calculation of the Percentage Increase in the Cost of the Sports Kit

To calculate the percentage increase in the cost of the sports kit, consisting of a t-shirt and shorts, we need to consider the individual price increases for each item.

According to the information provided, the t-shirt has increased in price by 47%, while the shorts have increased by 27%. We can use these percentages to calculate the overall increase in the cost of the sports kit.

Let's assume the original cost of the t-shirt is x.

The new cost of the t-shirt would be x + 47% of x.

Similarly, the new cost of the shorts would be x + 27% of x.

The total cost of the sports kit would be the sum of the new costs of the t-shirt and shorts.

Now, let's calculate the percentage increase in the cost of the sports kit.

Calculation Steps:

1. Calculate the new cost of the t-shirt: x + 47% of x. 2. Calculate the new cost of the shorts: x + 27% of x. 3. Calculate the total cost of the sports kit: sum of the new costs of the t-shirt and shorts. 4. Calculate the percentage increase in the cost of the sports kit compared to the cost of the t-shirt 2 years ago.

Calculation:

Let's assume the original cost of the t-shirt is x.

1. The new cost of the t-shirt is x + 47% of x = x + 0.47x = 1.47x. 2. The new cost of the shorts is x + 27% of x = x + 0.27x = 1.27x. 3. The total cost of the sports kit is 1.47x + 1.27x = 2.74x.

To calculate the percentage increase, we need to find the difference between the total cost of the sports kit