Question

Никита копил деньги на новый телефон.В апреле цена телефона сначала снизилась на 20%, в июне понизилась на 10%, а в августе снова повысилась на 20 %. Какие из следующих высказываний будут верны?А) купить телефон в апреле выгодней, чем в автгустеБ) купить телефон в августе выгодней, чем в апрелеВ)телефон в апреле и июне стоил одинаковоГ)телефон в июне и августе стоил одинаково

Answer 1

Пусть первоначальная цена х
в апреле цена стала 0,8х
в июне цена стала 0,8х*0,9=0,72х
в августе цена стала 0,72х*1,2=0,864х
Таким образом будут верны высказывания 
А , т.к. 0,8х<0,864х

Answer 2

Given Information:

- Nikita saved money for a new phone. - In April, the price of the phone initially decreased by 20%. - In June, the price decreased by 10%. - In August, the price increased by 20%.

Analysis:

To determine which statements are true, let's calculate the price changes and compare the prices in different months.

1. In April, the price of the phone decreased by 20%. 2. In June, the price decreased by 10%. 3. In August, the price increased by 20%.

Let's assume the original price of the phone is 100 units.

1. In April, the price decreased by 20%, so the new price is 100 - (20% of 100) = 100 - 20 = 80 units. 2. In June, the price decreased by 10%, so the new price is 80 - (10% of 80) = 80 - 8 = 72 units. 3. In August, the price increased by 20%, so the new price is 72 + (20% of 72) = 72 + 14.4 = 86.4 units.

Conclusion:

Based on the calculations, we can determine the following:

A) Buying the phone in April is more advantageous than in August. The price in April is 80 units, while the price in August is 86.4 units.

B) Buying the phone in August is more advantageous than in April. The price in August is 86.4 units, while the price in April is 80 units.

C) The phone had different prices in April and June. The price in April is 80 units, while the price in June is 72 units.

D) The phone had different prices in June and August. The price in June is 72 units, while the price in August is 86.4 units.

Therefore, the correct statements are A) and D).