Question : Raman sells a machine for Rs 39 lakhs at a loss. Had he sold it for Rs 49 lakhs, his gain would have been three times the loss. What is the cost price of the machine?
Option 1: Rs. 46.5 lakhs
Option 2: Rs. 62 lakhs
Option 3: Rs. 36.50 lakhs
Option 4: Rs. 41.50 lakhs
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Correct Answer: Rs. 41.50 lakhs
Solution :
Given, that Raman sells a machine for Rs. 39 lakhs at a loss.
Had he sold it for Rs. 49 lakhs, his gain would have been three times the loss.
Let the cost price be Rs. $x$.
Hence, $3\times (x-39)={49-x}$
⇒ $3x(x-39)=x(49-x)$
⇒ $3x-117=49-x$
⇒ $x = 41.50$
Hence, the correct answer is Rs. 41.50 lakhs.
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