Discussion
Radhika sold her treadmill on OLX to a customer at a loss of 6% to the original cost. If she had sold it for Rs. 1250/- more, she would have gained 4%. What is the original cost of the treadmill?
Answer: A
The original cost of the treadmill is Rs. 12,500.
Selling at a 6% loss and selling at a 4% gain differ by 10% of the cost price, and that difference is the extra Rs. 1,250.
\[ \begin{aligned} (4\% + 6\%) \times C &= 1250 \\ 0.10\,C &= 1250 \\ C &= 12500 \end{aligned} \]
Check: a 6% loss gives Rs. 11,750 and a 4% gain gives Rs. 13,000, which differ by Rs. 1,250. Note that 11,750 and 13,000 among the options are those two selling prices, not the cost.
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