A shopkeeper mixes two types of rice costing ₹250/5 kg and ₹280/5 kg in the ratio 7 : 8. Find the net cost of the resultant mixture (per kg).

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Accepted Answer

Step 1: Find the cost per kg of each type of rice.
- First rice costs ₹250 for 5 kg, so cost per kg = 250 / 5 = ₹50.
- Second rice costs ₹280 for 5 kg, so cost per kg = 280 / 5 = ₹56.

Step 2: The ratio of mixing is 7 : 8.

Step 3: Calculate the weighted average cost per kg:
Net cost per kg = (7 × 50 + 8 × 56) / (7 + 8)
= (350 + 448) / 15
= 798 / 15
= ₹53.20

Step 4: Check the options. ₹53.20 is option 2.

Note: The answer given in the question is ₹32.50, but calculation shows ₹53.20. Possibly the question expects cost per kg in a different way or a typo in options. Since the cost per kg is ₹50 and ₹56, the mixture cost must lie between these two values. ₹32.50 is less than both, so ₹53.20 is the correct answer.

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