in a city, there are 540 shopes ,some of them are cooperatives and other are privately owned.The probability that a shope selected randomly is privately owned is 25/27. How many shopes are city are cooperatives?
Answers
Given : in a city, there are 540 shop,
some of them are cooperatives the other are privately owned
the probability that a shop selected randomly is privately owned is 25/27
To Find : how many shops in the city are cooperatives
Solution:
Total Shops = 540
probability that a shop selected randomly is privately owned is 25/27
Hence 25 / 27 = Number of shop privately owned / Total Shops
=> 25/27 = Number of shop privately owned/540
=> 25 = Number of shop privately owned/20
=> 25 x 20 = Number of shop privately owned
=> 500 = Number of shop privately owned
cooperatives shops = Total Shops - Privately owned
=> cooperatives shops = 540 - 500
=> cooperatives shops = 40
40 shops in the city are cooperatives
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