Question

Телевизор подорожал на 30 процентов,затем на 10.На сколько процентов возросла цена товара по сравнению с первоначальной?

Answer 1

РЕШЕНИЕ
НЦ1 = 1,3 - после первого подорожания.
НЦ2 = 1,3 * 1,1 = 1,43 - после второго подорожания.
1,43 - 1 = 0,43 = на 43% подорожал - ОТВЕТ

Answer 2

X - цена телевизора до подорожания
0,3*х - первое подорожание
0,1(х+0,3х) - второе подорожание

Общая цена после двух подорожаний:
                   х + 0,3х + 0,1*(х+0,3х) = 1,3х + 0,13х = 1,43х
Общее увеличение цены телевизора:
                   1,43х - х = 0,43х  

Ответ: Цена возросла на 43%

Answer 3

Calculating the Increase in Price of the TV

To calculate the increase in price of the TV after it first increased by 30% and then by 10%, we can use the following formula:

Total Increase = (1 + 0.30) * (1 + 0.10) - 1

Let's calculate the total increase step by step.

Step 1: First Increase of 30%

The TV price increased by 30%. This means the price became 130% of the original price.

Step 2: Second Increase of 10%

The price then increased by 10%. This means the price became 110% of the price after the first increase.

Step 3: Calculating the Total Increase

Using the formula: Total Increase = (1 + 0.30) * (1 + 0.10) - 1

Total Increase = (1.30) * (1.10) - 1

Total Increase = 1.43 - 1

Total Increase = 0.43

So, the total increase in the price of the TV is 43%.

Therefore, the price of the TV increased by 43% compared to the original price.