Advertisements
Advertisements
Question
The variable x is inversely proportional to y. If x increases by p%, then by what per cent will y decrease?
Advertisements
Solution
The variable x is inversely proportional to y.
xy = k ...(Constant)
Since, we know that two quantities x and y are said to be in inverse proportion, if an increase in x cause a proportional decrease in y and vice-versa.
So, we can say y decrease by p%
APPEARS IN
RELATED QUESTIONS
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
It is known that for a given mass of gas, the volume v varies inversely as the pressure p. Fill in the missing entries in the following table:
| v (in cm3) | ... | 48 | 60 | ... | 100 | ... | 200 |
| p (in atmospheres) | 2 | ... | 3/2 | 1 | ... | 1/2 | ... |
Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job?
A printer, prints a book of 300 pages at the rate of 30 pages per minute. Then, how long will it take to print the same book if the speed of the printer is 25 pages per minute?
10 farmers can plough a field in 21 days. Find the number of days reduced if 14 farmers ploughed the same field?
Two quantities are said to vary ______ with each other if an increase in one causes a decrease in the other in such a manner that the product of their corresponding values remains constant.
If x varies inversely as y, then
| x | – | 60 |
| y | 2 | 10 |
If two quantities p and q vary inversely with each other then ______ of their corresponding values remains constant.
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.
When the speed is kept fixed, time and distance vary inversely with each other.
