Question

10 января 2013 года Андрей взял кредит в банке 10000 рублей. 10 января 2014 года долг банку увеличился на 10%. На след. День Андрей вернул банку часть долга. 10 января 2015 года его оставшийся долг снова увеличился на 10%. На след. День он вернул банку 7700 рублей, тем самым выплатив полностью свой долг. Сколько рублей Андрей заплатил банку 11 января 2014 года?

Answer 1

Пусть х - кол-во денег, которые он отдал банку в 2014 году
10000 * 1.1 - х  --- остаток долга в 2014 году
1.1(11000 - х) - 7700 = 0
12100 - 1.1х - 7700 = 0
- 1.1х = 7700 - 12100 = -4400
1.1х = 4400
х = 4400 / 1.1 = 4000
Ответ: он заплатил 4000 руб. 11 января 2014 года

Answer 2

Calculation of Andrei's Debt on January 11, 2014

To calculate the amount Andrei paid to the bank on January 11, 2014, we need to consider the information provided.

On January 10, 2013, Andrei took a loan of 10,000 rubles from the bank.

On January 10, 2014, his debt to the bank increased by 10%.

On the following day, January 11, 2014, Andrei repaid a part of his debt to the bank.

To calculate the amount Andrei paid on January 11, 2014, we need to determine the increase in his debt on January 10, 2014, and subtract it from the total debt.

Let's calculate step by step:

1. Increase in debt on January 10, 2014: - Andrei's debt on January 10, 2014, increased by 10%. - 10% of 10,000 rubles is 1,000 rubles.

2. Total debt on January 10, 2014: - Andrei's initial debt was 10,000 rubles. - The increase in debt on January 10, 2014, was 1,000 rubles. - Therefore, the total debt on January 10, 2014, was 10,000 + 1,000 = 11,000 rubles.

3. Amount repaid on January 11, 2014: - Andrei repaid a part of his debt on January 11, 2014. - The exact amount repaid is not mentioned in the question.

Based on the information provided, we cannot determine the exact amount Andrei repaid on January 11, 2014.