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A shopkeeper mixes two grades of saffron...

A shopkeeper mixes two grades of saffron. Grade I and Grade II. Grade I saffron costs Rs 154 per gram and Grade II costs Rs 121 per gram. The two grades of saffron are mixed in the ratio `3:8` . At what price should he sell the mixture to make a profit of `25%`?

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To solve the problem step by step, we will follow the given information and calculate the average cost price of the mixed saffron, then determine the selling price to achieve a profit of 25%. ### Step 1: Calculate the total cost of each grade of saffron in the mixture The shopkeeper mixes Grade I and Grade II saffron in the ratio of 3:8. - Cost of Grade I saffron = Rs. 154 per gram - Cost of Grade II saffron = Rs. 121 per gram Let’s calculate the total cost for each grade based on the ratio: - Total parts = 3 (Grade I) + 8 (Grade II) = 11 parts **Cost of Grade I in the mixture:** \[ \text{Cost of Grade I} = 154 \times 3 = 462 \text{ Rs} \] **Cost of Grade II in the mixture:** \[ \text{Cost of Grade II} = 121 \times 8 = 968 \text{ Rs} \] ### Step 2: Calculate the total cost of the mixture Now, we will add the costs of both grades to find the total cost of the mixture. \[ \text{Total Cost} = \text{Cost of Grade I} + \text{Cost of Grade II} = 462 + 968 = 1430 \text{ Rs} \] ### Step 3: Calculate the average cost price (CP) per gram of the mixture To find the average cost price per gram, we will divide the total cost by the total number of parts (11). \[ \text{Average CP} = \frac{\text{Total Cost}}{\text{Total parts}} = \frac{1430}{11} = 130 \text{ Rs per gram} \] ### Step 4: Calculate the profit amount for a 25% profit margin To find the selling price that includes a profit of 25%, we first need to calculate the profit amount. \[ \text{Profit} = \frac{25}{100} \times \text{CP} = \frac{25}{100} \times 130 = 32.5 \text{ Rs} \] ### Step 5: Calculate the selling price (SP) Now, we can find the selling price by adding the profit to the cost price. \[ \text{Selling Price} = \text{CP} + \text{Profit} = 130 + 32.5 = 162.5 \text{ Rs per gram} \] ### Final Answer The shopkeeper should sell the mixture at Rs. 162.5 per gram to make a profit of 25%. ---
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