Question

В январе рабочий недовыполнил на 5 % а в феврале перевыполнил тот же план на 7 % собрав га 24 приборов больше чем в январе .сколько приборов собрал рабочий в январе и сколько в феврале.

Answer 1

Так как проценты отсчитываются от одного и того же плана, то 24 прибора это есть 12% (5%+7%=12%). Тогда найдем план: 24 : 0,12 = 200 приборов. 
Найдем выполнение в январе: 200 * 0,95 = 190 (п);
Найдем выполнение в феврале: 200 * 1,07 = 214 (п).
Ответ: рабочий собрал 190 приборов в январе и 214 приборов в феврале.  

Answer 2

Calculation of the Number of Devices Assembled in January and February

To calculate the number of devices assembled in January and February, we need to consider the percentage of underperformance in January and the percentage of overperformance in February.

Let's assume that the target number of devices to be assembled in January is represented by x.

In January, the worker underperformed by 5%, which means he assembled 95% of the target number of devices. Therefore, the number of devices assembled in January can be calculated as follows:

Number of devices assembled in January = x * (95/100)

In February, the worker overperformed by 7%, which means he assembled 107% of the target number of devices. Therefore, the number of devices assembled in February can be calculated as follows:

Number of devices assembled in February = x * (107/100)

Given that the number of devices assembled in February is 24 more than in January, we can set up the following equation:

Number of devices assembled in February = Number of devices assembled in January + 24

Now, let's solve the equation to find the values of the number of devices assembled in January and February.

Solution:

Let's assume the target number of devices to be assembled in January is x.

From the equation above, we have:

x * (107/100) = x * (95/100) + 24

Simplifying the equation:

107x/100 = 95x/100 + 24

To solve for x, we can cross-multiply:

107x = 95x + 2400

Subtracting 95x from both sides:

12x = 2400

Dividing both sides by 12:

x = 200

Therefore, the target number of devices to be assembled in January is 200.

Now, we can calculate the number of devices assembled in January and February:

Number of devices assembled in January = 200 * (95/100) = 190

Number of devices assembled in February = 200 * (107/100) = 214

Therefore, the worker assembled 190 devices in January and 214 devices in February.

Please note that the above calculations are based on the assumption that the target number of devices to be assembled in January is x.