The ratio of the price of a mobile and a speaker is 5 : 2. The average price of two mobiles and a speaker is Rs. 20000. The total sum of the price of a mobile and a speaker is –

  1. Rs. 25000
  2. Rs. 35000
  3. Rs. 30000
  4. Rs. 45000
  5. Rs. 40000

Answer (Detailed Solution Below)

Option 2 : Rs. 35000
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Detailed Solution

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Given:

Ratio of the price of a mobile and a speaker is 5 : 2

Average price of two mobiles and a speaker is Rs. 20000

Formula Used:

Average = (sum of all the observations)/(total number of observations)

Calculation:

Let the price of a mobile and a speaker be Rs. 5M and Rs. 2M respectively.

According to the question,

Average price of two mobiles and a speaker is Rs. 20000

⇒ (2 × 5M + 2M)/3 = 20000

⇒ 10M + 2M = 60000

⇒ M = 5000

⇒ Price of a mobile = 5 × 5000 = Rs. 25000

⇒ Price of a speaker = 2 × 5000 = Rs.10000

∴ Required sum = 25000 + 10000 = Rs. 35000

 

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