A wholesaler marks up a batch of 100 identical clocks by 80% on cost and offers a trade discount of 25% to retailers. A retailer purchases all the clocks and spends Rs. 48,000. What is the cost price per clock for the wholesaler?
Rs. 355.56
Let the cost price of one clock for the wholesaler be \(C\).
Marking up by 80% gives a marked price of \(C \times \left(1 + \frac{80}{100}\right) = 1.8\,C\) per clock.
A 25% trade discount means the retailer pays 75% of the marked price, i.e. \(1.8\,C \times 0.75 = 1.35\,C\) per clock.
For all 100 clocks the retailer spends \(100 \times 1.35\,C = 135\,C\), and this equals Rs. 48,000.
So \(135\,C = 48000 \Rightarrow C = \frac{48000}{135} = 355.56\).
Hence, the cost price per clock for the wholesaler is Rs. 355.56.
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