### Chapter: Chain Rule

Important formulae and tricks and shortcuts of Chain Rule:

We are providing you Important Concepts and Tricks on Chain Rule which are usually asked in almost all competitive exams like IBPS, Govt. Exams and CAT and in quantitative aptitude of MNCs. Use these below given tricks to solve questions within minimum time. These tricks will be very helpful for your upcoming Competitive Exam.

Important Formulas - Chain Rule

1. Direct Proportion

Two quantities are said to be directly proportional, if on the increase or decrease of one, the other increases or decreases the same extent.

Examples

(a) Cost of the goods is directly proportional to the number of goods. (More goods, More cost)

(b) Amount of work done is directly proportional to the number of persons who did the work. (More persons, More Work)

2. Indirect Proportion (inverse proportion)

Two quantities are said to be indirectly proportional (inversely proportional) if on the increase of one, the other decreases to the same extent and vice-versa.

Examples

(a) Number of days needed to complete a work is indirectly proportional (inversely proportional) with the number of persons who does the work (More Persons, Less Days needed)

(b) The time taken to travel a distance is indirectly proportional (inversely proportional) with the speed in which one is travelling (More Speed, Less Time)

For solved problems on above formulas please visit below sections: