Question

семья состоит из мужа, жены и дочери-студентки. если зарплата мужа возрастет в 2 раза, то доход их семьи увеличится на 66%, если дочери снизят стипендию в 4 раза, то доход снизитя на 6%. сколько % от общего дохода составляет зарплата жены?

Answer 1

Если бы зарплата мужа увеличилась вдвое, общий доход семьи вырос бы на 67%, то есть зарплата мужа составляет 67% дохода семьи. Если бы стипендия дочери уменьшилась втрое, общий доход семьи сократился бы на 4%, то есть 2/3 стипендии составляют 4% дохода семьи, а вся стипендия дочери составляет 6% дохода семьи. Таким образом, доход жены составляет 100% − 67% − 6% = 27% дохода семьи. 

Ответ: 27.

Answer 2

Calculation of the Wife's Salary Percentage

To calculate the percentage of the total income that the wife's salary represents, we need to use the information provided in the question. Let's break down the problem step by step:

1. The family consists of a husband, wife, and a daughter who is a student. 2. If the husband's salary increases by 2 times, the family's income will increase by 66%. 3. If the daughter's scholarship is reduced by 4 times, the family's income will decrease by 6%.

Let's denote the husband's salary as H, the wife's salary as W, and the daughter's scholarship as S.

Based on the information given, we can write the following equations:

1. Equation 1: If the husband's salary increases by 2 times, the family's income will increase by 66%. - New family income = Old family income + 66% of old family income - New family income = Old family income + 0.66 * Old family income - New family income = Old family income * (1 + 0.66) - New family income = Old family income * 1.66 - New family income = (H + W + S) * 1.66

2. Equation 2: If the daughter's scholarship is reduced by 4 times, the family's income will decrease by 6%. - New family income = Old family income - 6% of old family income - New family income = Old family income - 0.06 * Old family income - New family income = Old family income * (1 - 0.06) - New family income = Old family income * 0.94 - New family income = (H + W + S) * 0.94

Now, let's solve these equations to find the value of W (the wife's salary) as a percentage of the total income.

To solve the equations, we can set them equal to each other:

(H + W + S) * 1.66 = (H + W + S) * 0.94

Simplifying the equation:

1.66 * (H + W + S) = 0.94 * (H + W + S)

Dividing both sides by (H + W + S):

1.66 = 0.94

This equation is not possible, as it leads to an inconsistent result. Therefore, there seems to be an error in the information provided or the calculations.

Unfortunately, without additional information or clarification, it is not possible to determine the exact percentage of the total income that the wife's salary represents.

Please provide any additional information or clarify the problem, and I will be happy to assist you further.