Question

С начала цена товара повысилась на 30%,потом его новая цена понизилась на 30%. Товар стал дешевле или дороже? На сколько %?

Answer 1

Пусть товар стоил 1, найдем чему равен 1% от цены товара:
1:100=0,01 равен 1%
0,01*30=0,3 будет равно подорожание
1+0,3=1,3 стал стоить товар после подорожания
найдем чему равен 1% от новой цены товара
1,3:100=0,013 равен 1% от новой цены товара
0,013*30=0,39 снизилась цена товара
1,3-3,9=0,91 стал стоить товар после удешевления
Поскольку 1 больше 0,91 то товар подешевел
1-0,91=0,09 товар стал дешевле
0,09:0,01=9% товар стал дешевле

Answer 2

Calculation of the New Price

To determine whether the item became cheaper or more expensive after the price increase and subsequent decrease, we need to calculate the new price. Let's assume the original price of the item is 100 units.

1. The price of the item increased by 30%. Therefore, the new price after the increase is:

Original price + (Original price * 30%) = 100 + (100 * 0.3) = 100 + 30 = 130 units.

2. The new price then decreased by 30%. Therefore, the final price after the decrease is:

New price - (New price * 30%) = 130 - (130 * 0.3) = 130 - 39 = 91 units.

Conclusion

The final price of the item is 91 units, which is lower than the original price of 100 units. Therefore, the item became cheaper.

The percentage decrease in price can be calculated as follows:

Percentage decrease = ((Original price - Final price) / Original price) * 100 Percentage decrease = ((100 - 91) / 100) * 100 = (9 / 100) * 100 = 9%.

Therefore, the item became 9% cheaper.