Chain rule is commonly applied in Ratios and proportions questions when more than two ratios are inter-related.

Any two quantities are said to be directly proportional, if on the increase of one quantity, the other quantity increases and vice-versa.

- Example: Cost is directly proportional to number of objects

Cost ? Number of objects

Number of objects increases (↑) Cost (↑) - Example: Work done is directly proportional to number of working men

Work done ? Number of working men

Number of men increase (↑) Work done (↑)

## 2) Indirect Proportion:Any two quantities are said to be indirectly proportional, if on the increase of one quantity, the other quantity decreases and vice-versa. - Example: If speed of car is increases, then the time required to cover the distance decreases.
Speed of car (↑) Time required decreases (↓) - Example: Time taken to finish work increases, if number of men decrease.
Time (↑) Number of men (↓)
## Tips and TricksIn this chapter generally different types of numerical related to time and work, time and speed, cost and number of articles, men and work, etc. are asked. |

- Numbers
- Highest Common Factor And Least Common Multiple
- Decimal
- Fractions
- Simplification
- Surds And Indices
- Chain Rule
- Square Root And Cube Root
- Ratio And Proportion
- Pipes And Cisterns
- Boats and Streams
- Problems on Trains
- Alligation or Mixtures
- Time and Distance
- Geometry
- Time and Work
- Simple Interest
- Problem Solving

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