in a city,there are 540 shop, some of them are cooperatives the other are privately owned the probability that a shop selected ran

By Remi

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 .how many shops in the city are cooperatives​

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  1. 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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