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Shopkeepers who sold only windows mobiles are 30 which is 25% of the total shopkeeper who sold only Android and only Mac. There are a total of 240 shopkeepers and total shopkeepers who sold exactly two phones are 45, then how many sold phones of all the three types?

Shopkeepers who sold only windows mobiles are 30 which is 25% of the total shopkeeper who sold only Android and only Mac. There are a total of 240 shopkeepers and total shopkeepers who sold exactly two phones are 45, then how many sold phones of all the three types? Correct Answer 45

GIVEN:

Shopkeepers who sold only windows mobiles are 30 which is 25% of total shopkeepers who sold only Android and only Mac.

There are a total of 240 shopkeepers and total shopkeepers who sold exactly two phones are 45.

CONCEPT:

Venn diagram

CALCULATION:

 

Shopkeepers who sold only Android and only Mac = p + q = 30 × (100/25) = 120

Shopkeepers who sold exactly two phones = a + b + c = 45

∴ Shopkeepers who sold all the three phones = 240 – (a + b + c) – (p + q) – 30

= 240 – 45 – 120 – 30 = 45

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