A shopkeeper purchases 20 identical items for ₹400. To make a profit of 25%, how many items should he sell for ₹400, if the selling price is uniform for all items?
16
Cost price of 20 items = ₹400, so cost price per item = \(\frac{400}{20} = ₹20\).
Let the number of items sold for a total of ₹400 be \(N\). Cost price of these \(N\) items = \(20N\).
Profit required = 25% of cost price = \(\frac{25}{100} \times 20N = 5N\).
Selling price = Cost price + Profit, so \(400 = 20N + 5N = 25N\).
Solving, \(N = \frac{400}{25} = 16\).
Hence, the shopkeeper should sell 16 items for ₹400 to earn a 25% profit.
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