The income of X is 7(1/7)% less than the income of Y and the income of Z is 11(1/9)% more than the combined income of X and Y. The income of Y is how much percent less than the income of Z?
Question
The income of X is 7(1/7)% less than the income of Y and the income of Z is 11(1/9)% more than the combined income of X and Y. The income of Y is how much percent less than the income of Z?
Solution
Let's break down the information given step by step:
-
The income of X is 7(1/7)% less than the income of Y. This means that X's income is 7(1/7)% lower than Y's income.
-
The income of Z is 11(1/9)% more than the combined income of X and Y. This means that Z's income is 11(1/9)% higher than the total income of X and Y combined.
-
We need to find the percentage by which Y's income is less than Z's income.
To solve this problem, let's assume Y's income is 100 units.
-
X's income is 7(1/7)% less than Y's income: X's income = 100 - (7(1/7)% of 100) = 100 - (7/100) * 100 = 100 - 7 = 93 units
-
Z's income is 11(1/9)% more than the combined income of X and Y: Z's income = (100 + 93) + (11(1/9)% of (100 + 93)) = 193 + (11/100) * 193 = 193 + 21.23 = 214.23 units
Now, let's find the percentage by which Y's income is less than Z's income:
Percentage less = ((Z's income - Y's income) / Z's income) * 100 = ((214.23 - 100) / 214.23) * 100 = (114.23 / 214.23) * 100 = 53.33%
Therefore, Y's income is approximately 53.33% less than Z's income.
Similar Questions
Christopher works in a clothing store. He earns $7.50 per hour, plus 6% of his sales. Which of the following expressions gives Christopher’s earnings, in dollars, when he works x hours and has y dollars in sales?Responses75x + 6y75x + 6y75x + 0.06y75x + 0.06y7.5x + 6y7.5x + 6y7.5x + 0.6y7.5x + 0.6y7.5x + 0.06y
There are 3 different whole numbers X, Y and Z. The average of these numbers is 90. The quotient is 7, when you divide X by Y. What is the smallest possible value of Z?
The ratio of the incomes of A and B last year was 9:10, respectively. The ratios of their individual incomes of the last year and the present year are 3:5 and 5:7, respectively. If their total income for the present year is 1,16,000. What is the present year income difference?
The ratio of the selling prices of three items X, Y and Z is 7 : 8 : 9. The ratio of the numbers of items of X, Y and Z that were sold is 4 : 5 : 6. The difference between the sales revenue from the sale of items X and Z is ₹7,800. Find the total sales value of the three items
If 15% of Y is same as 21% of Z, then 12.5% of Y is equal to what per cent of Z?20%17.5%13%9.5%
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.