Question

Один из клиентов банка решил положить на два счета 1200 леев.на один счет под 8% годовых, а на второй- под 10%.. через год общая сумма его денег увеличилась на 108 леев . сколько денег было положено на каждый счет???

Answer 1

10+8=18 условных частей
108:18=6 леев - составляет один процент
6*8=48 леев - прирост с одного счета
6*10=60 леев - прирост с другого счета
48:8*100=600 леев - счет под 8%
60:10*100=600 леев - счет под 10%

Answer 2

Calculation of the Amount Deposited on Each Account

To calculate the amount of money deposited on each account, we can set up a system of equations based on the given information.

Let's assume that the amount of money deposited on the first account, which earns 8% interest, is x lei. The amount of money deposited on the second account, which earns 10% interest, is y lei.

According to the given information, the total amount of money after one year increased by 108 lei. This can be expressed as:

x + y + 108 = 1200

Additionally, we know that the interest earned on the first account is 8% and the interest earned on the second account is 10%. This can be expressed as:

0.08x + 0.10y = 108

Now, we can solve this system of equations to find the values of x and y.

Let's solve the system of equations:

x + y + 108 = 1200   (Equation 1)
0.08x + 0.10y = 108   (Equation 2)

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method.

Multiply Equation 1 by -0.08:

-0.08x - 0.08y - 8.64 = -96

Add this equation to Equation 2:

-0.08x + 0.08x - 0.08y + 0.10y - 8.64 = -96 + 108
0.02y - 8.64 = 12
0.02y = 20.64
y = 20.64 / 0.02
y = 1032

Substitute the value of y into Equation 1:

x + 1032 + 108 = 1200
x + 1140 = 1200
x = 1200 - 1140
x = 60

Therefore, the amount of money deposited on the first account is 60 lei, and the amount of money deposited on the second account is 1032 lei.

Answer: The client deposited 60 lei on the first account and 1032 lei on the second account.