Download the Arithmetic Direct and Indirect Proportion Solved MCQs with Free PDF for PPSC, FPSC, PMS, NTS, KPKPSC, and SPSC exam
Direct proportion and indirect proportion are two types of proportion. In direct proportion, two quantities are directly related to each other. This means that if one quantity increases, the other quantity also increases. And if one quantity decreases, the other quantity also decreases.
For example, the amount of money you earn is directly proportional to the number of hours you work. If you work more hours, you will earn more money. And if you work fewer hours, you will earn less money.
In indirect proportion, two quantities are inversely related to each other. This means that if one quantity increases, the other quantity decreases. And if one quantity decreases, the other quantity increases.
For example, the speed of a car is inversely proportional to the time it takes to travel a certain distance. If the speed of the car increases, the time it takes to travel the distance will decrease. And if the speed of the car decreases, the time it takes to travel the distance will increase.
The formulas for direct and indirect proportion are:
- Direct proportion: xy = k, where k is a constant.
- Indirect proportion: xy = 1/k, where k is a constant.
In both formulas, x and y are the two quantities, and k is the constant of proportionality.
Here are some examples of direct and indirect proportion:
- Direct proportion: The amount of money you earn is directly proportional to the number of hours you work.
- Indirect proportion: The speed of a car is inversely proportional to the time it takes to travel a certain distance.
- Direct proportion: The force applied to an object is directly proportional to the acceleration of the object.
- Indirect proportion: The area of a circle is inversely proportional to the square of its radius.
- Direct proportion: The volume of a cube is directly proportional to the cube of its side length.
Direct and indirect proportion are important concepts in mathematics. They are used in a variety of applications, such as physics, chemistry, and engineering.
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