Question : If two LED TVs and one mobile phone cost INR 31,000, while two mobile phones and one LED TV cost INR 35,000, then the value of one mobile phone is:
Option 1: INR 13,500
Option 2: INR 12,500
Option 3: INR 13,000
Option 4: INR 12,000
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Correct Answer: INR 13,000
Solution :
Let $x$ be the cost of an LED TV and $y$ be the cost of a mobile phone.
$2x + y = 31000$ ------------(i)
$x + 2y = 35000$
⇒ $x = 35000 – 2y$ ------------(ii)
Substituting (ii) in (i),
$2(35000 - 2y) + y = 31000$
⇒ $70000 - 4y + y = 31000$
⇒ $3y = 70000 -31000 = 39000$
⇒ $y = 13000$
Cost of a mobile phone = INR 13000
Hence, the correct answer is INR 13000.
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