Ratio and Prapotion.ppt
- 1. Sri Dharmasthala Manjunatheswara College( Autonomous ) Ujire Ratio and Proportions. Department of Statistics Presenter :- Ganesh Gouda 2nd BBA R.No : 201011 Venue : Classroom Date of Presentation 08-02-2022 -: Topic :-
- 3. Ratio : The comparison of two quantities of the same kind by division is called ratio. A ratio has “no units”.
- 4. Compare the number of boys to girls in the class.
- 8. Three ways to write a Ratio The ratio of a to b , can be written as : 1. a to b 2. a:b 3. ab
- 9. Properties of Ratio: 1. Ratio is not changed by multiplying or dividing the antecedent and consequent by the same number. 2. Ratio is independent of units of measurement, that is, it is an abstract number. 3. Quantities of different kind cannot be expressed as ratio. 4. If the product of two ratios is 1, each is said to be the inverse or reciprocal of the other. Thus a : b is the inverse or reciprocal of b : a and vice versa. 5. In the ratio a : b, if (i) a = b, then a : b is the ratio of quantity, e.g. 3:3. (ii) If a > b, then a : b is said to be the ratio of greater inequality, e.g. 6:5. (iii) If a < b, then a : b is said to be the ratio of lesser inequality, e.g. 3:4.
- 11. 3:2 Examples :
- 12. Proportion
- 13. A Proportion is an equation that says one ratio is equal to another. Meaning Ratio Ratio
- 15. Rule of Proportion: In any proportion, the product of extremes is equal to the product of means. i.e, if a : b = c : d, then a × d = b × c If a : b = c : d or a b = c d then a,b,c and d are in proportion. Example if 2 : 3 = 4 : 6 then 2,3,4,6 are in proportion
- 16. If two quantities are so related to each other that an increase or decrease in the magnitude of one, results in the increase or decrease in the magnitude of the other in the same ratio, then the two quantities are in direct proportion. Direct Proportion
- 17. Answer
- 18. When two quantities are so related that as one increases the other decreases and as one decreases the other increases, then we say that the two quantities are in inverse proportion. Inverse Proportion
- 19. C = 5 Candies
- 20. Continued Proportion Three numbers are said to be in continued Proportion if the ratio of first and second number is equal to the ratio of second and third number.
- 21. Verify whether 2, 4, 8 are in continued proportion. Solution: Continued proportion=a : b :: b : c a × c = b2 2 : 4 :: 4 : 8 2 × 8 = 4 × 4 16=16 Therefore 2, 4, 8 are in continued proportion.