English

The variable x is inversely proportional to y. If x increases by p%, then by what per cent will y decrease?

Advertisements
Advertisements

Question

The variable x is inversely proportional to y. If x increases by p%, then by what per cent will y decrease?

Sum
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%

shaalaa.com
  Is there an error in this question or solution?
Chapter 10: Direct and Inverse Proportions - Exercise [Page 328]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 100. | Page 328

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Which of the following are in inverse proportion?

The time taken for a fixed journey and the speed of the vehicle.


Which of the following are in inverse proportion?

The population of a country and the area of land per person. 


Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:

Number of spokes 4 6 8 10 12
Angle between a pair
of consecutive spokes
90° 60° ... ... ...
  1. Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
  2. Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
  3. How many spokes would be needed if the angle between a pair of consecutive spokes is 40°?

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?


If x and y vary inversely as other and x = 3 when y = 8, find y when x = 4 .


6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?


16 taps can fill a petrol tank in 18 minutes. The time taken for 9 taps to fill the same tank will be _________ minutes


When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.


Write whether the following statement vary directly, vary inversely with each other, or neither of the two.

The height of a tree and the number of years.


If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.

a 6 8 q 25
b 18 p 39 r

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×