A shopkeeper offers a fixed discount of 15% on rice and 100 gm rice free with every purchase of 1.9 kg rice. Find the overall discount percent offered by him on rice.
19.25%
Let the price of rice be \(₹1\) per gram, so the price for \(1.9\text{ kg} = 1900\text{ g}\) is \(₹1900\).
A customer pays only \(85\%\) of this price due to the 15% discount: \(1900 \times 0.85 = ₹1615\).
For this payment, the customer receives \(1900 + 100 = 2000\text{ g}\) of rice.
The original price for 2000 g of rice would have been \(₹2000\).
Overall discount \(= \frac{2000 - 1615}{2000} \times 100 = \frac{385}{2000} \times 100 = 19.25\%\).
Hence, the overall discount offered is 19.25%.
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