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A shopkeeper has 120 phones, some are Samsung’s and others are Nokia’s. If 60 more Samsung phones are bought by the shopkeeper, then probabilities of selling a Samsung is now double of what it was before. Find the number of Nokia phones the shopkeeper has

A shopkeeper has 120 phones, some are Samsung’s and others are Nokia’s. If 60 more Samsung phones are bought by the shopkeeper, then probabilities of selling a Samsung is now double of what it was before. Find the number of Nokia phones the shopkeeper has Correct Answer 90

Given,

Total number of phones = 120

Formula:

P (E) = Number of favourable events happened/Total number of trials.

Calculation:

Let number of Samsung phones be x, then

In the starting probability of selling a Samsung phone = x/120

If the shopkeeper bought 60 more Samsung phones, then

Number of Samsung phones in the shop = x + 60

Total number of phones = 120 + 60 = 180

Probability of selling a Samsung phone = (x + 60)/180

According to the question

(x + 60)/180 = 2 × x/120

⇒ (x + 60)/180 = x/60

⇒ x + 60 = 3x

⇒ 3x – x = 60

⇒ 2x = 60

⇒ x = 30

Number of Samsung phones in the starting is 30.

∴ Number of Nokia phones = 120 – 30 = 90.

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