There are three brands of milk available for sale in a city - brand A, brand B and brand C. In a town of 10000 families, it was found that 40% families buy brand A, 20% buy brand B and 10% buy brand C. Also 5% families buy brands A and B, 3% buy B and C and 4% buy A and C. 2% families buy all the three brands.
Based on the above information answer the following :
i. Number of families which buy the milk of brand A only, is (a) 3030 (b) 3300 (c) 3003 (d) 4500
ii. Number of families which buy the milk of exactly two brands, are
(a) 600 (b) 990 (c) 60 (d) 6000
iii. What is the number of families which buy the milk of exactly one brand?
(a) 2500 (b) 5020 (c) 5200 (d) 2000
iv. Number of families which buy the milk of brands A and C but not B is
(a) 20 (b) 2000 (c) 400 (d) 200
v. What is the number of families which buy the milk of brands of at least one of A, B, C?
(a) 990 (b) 6000 (c) 9000 (d) 3000
Please answer
Answers
Given : In a town of 10000 families, it was found that
40% families buy brand A, 20% buy brand B and 10% buy brand C
5% families buy brands A and B, 3% buy B and C and 4% buy A and C.
2% families buy all the three brands.
To Find :
Solution:
milk of brand A only = brand A - brands A and B, - brand A and C + all 3 brand
= 40 % - 5 % - 4 % + 2 %
= 33 %
33 % of 10000 = 3300
Number of families which buy the milk of brand A only, = 3300
milk of exactly two brands
= (brands A and B - all 3 brands) + (brands A and C - all 3 brands) + (brands C and B - all 3 brands)
= ( 5 - 2) + (4 - 2) + (3 - 2) %
= 6 %
6 % of 10000 = 600
number of families which buy the milk of exactly one brand = 5200
Number of families which buy the milk of brands A and C but not B = 200
at least one of A, B, C = 6000
Learn More:
An urn contains 6 red balls and 3 blue balls. One ball is selected at ...
brainly.in/question/15063077
The probability of hitting a target in any shot is 0.2. If 10 shots are ...
brainly.in/question/6536890
A salon owner noted what types of services
brainly.in/question/17439261
