Question

ціна товару становила 900 грн. Спочатку його ціну знизили на 20% а потім підвищили на 10% Якою стала ціна товару після цих змін? На скільки % змінилася початкова ціна?

Answer 1

Calculation of the Final Price:

To calculate the final price of the product after the changes, we need to follow these steps:

1. Start with the initial price of the product, which is 900 грн. 2. Decrease the price by 20%. 3. Increase the resulting price by 10%.

Let's calculate the final price step by step:

1. Decrease the initial price by 20%: - 20% of 900 грн is (20/100) * 900 грн = 180 грн. - Subtracting 180 грн from the initial price, we get 900 грн - 180 грн = 720 грн.

2. Increase the resulting price by 10%: - 10% of 720 грн is (10/100) * 720 грн = 72 грн. - Adding 72 грн to the resulting price, we get 720 грн + 72 грн = 792 грн.

Therefore, the final price of the product after the changes is 792 грн.

Percentage Change in the Initial Price:

To calculate the percentage change in the initial price, we need to compare the difference between the initial price and the final price with the initial price.

1. Calculate the difference between the initial price and the final price: - Difference = Final Price - Initial Price = 792 грн - 900 грн = -108 грн.

2. Calculate the percentage change: - Percentage Change = (Difference / Initial Price) * 100% = (-108 грн / 900 грн) * 100% ≈ -12%.

Therefore, the initial price has decreased by approximately 12%.

Please note that the calculations are based on the information provided and the assumption that the percentage changes are applied sequentially.