Question

Стоимость товара была повышена на 20%, а затем снижена на 10%. На сколько процентов изменилась стоимость товара?

Answer 1

X*1,2*0,9=1,08

Ответ: на 8%

Answer 2

Calculating Change in the Cost of the Item

To calculate the change in the cost of the item after it was first increased by 20% and then decreased by 10%, we can use the following formula:

Change% = ((New Value - Original Value) / Original Value) * 100

Let's calculate the change step by step.

1. Increase by 20%: - When the cost of the item was increased by 20%, the new cost became 120% of the original cost. - This can be calculated as: New Value = Original Value + (Original Value * 20%)

2. Decrease by 10%: - When the cost of the item was decreased by 10%, the new cost became 90% of the increased cost. - This can be calculated as: New Value = Increased Value - (Increased Value * 10%)

3. Calculate the Overall Change: - Now, we can calculate the overall change in the cost using the formula mentioned above.

Calculation

1. Increase by 20%: - New Value = Original Value + (Original Value * 20%) = Original Value + 0.2 * Original Value = 1.2 * Original Value

2. Decrease by 10%: - New Value = Increased Value - (Increased Value * 10%) = 1.2 * Original Value - 0.1 * (1.2 * Original Value) = 1.2 * Original Value - 0.12 * Original Value = 1.08 * Original Value

3. Calculate the Overall Change: - Change% = ((New Value - Original Value) / Original Value) * 100 - Change% = ((1.08 * Original Value - Original Value) / Original Value) * 100 - Change% = (0.08 * Original Value / Original Value) * 100 - Change% = 8%

Conclusion

The overall change in the cost of the item after it was first increased by 20% and then decreased by 10% is a decrease of 8%.