Discussion
Roshan sold his motorcycle for Rs. 70,000 and losses some amount. If he had sold it for Rs. 82,000, his gain would have been double the former loss. The cost price of Roshan's motorcycle is
Answer: C
The cost price is Rs. 74,000.
Let the cost price be \(C\). The loss at Rs. 70,000 is \(C - 70000\), and the gain at Rs. 82,000 is twice that loss:
\[ \begin{aligned} 82000 - C &= 2(C - 70000) \\ 82000 + 140000 &= 3C \\ C &= 74000 \end{aligned} \]
Check: the loss is Rs. 4,000 and the gain Rs. 8,000, double the loss. 73,000 would make the gain 9,000 against a loss of 3,000, three times rather than twice.
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