A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is
Explanation:
Let 2, 3, 5 kgs is bought of each variety respectively.
∴ Total quantity bought = 2 + 3 + 5 = 10 kgs
Total cost of tea = 2 × 800 + 3 × 500 + 5 × 300 = 4600.
Profit on total quantity = 50%
∴ Total selling price for 10 kg tea = 4600 × 1.5 = 6900.
Selling price for 1/6th of 10 kg tea = 10/6 × 700 = 7000/6
⇒ Selling price for remaining 50/6 kg tea = 6900 – 7000/6 = 34400/6
∴ Selling price per kg for the remaining tea = 34400/6 ÷ 50/6 = 688
Hence, option (b).
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