Can you please go through my rough work

Can you please go through my rough work

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the ans is 688 but i am getting an ans of 780 as per the rough work provided by me can you please provide the right ans 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 WhatsApp Image 2024-11-23 at 8.04.04 PM.jpeg 119.72 KB

the ans is 688 but i am getting an ans of 780 as per the rough work provided by me can you please provide the right ans 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 WhatsApp Image 2024-11-23 at 8.04.04 PM.jpeg 119.72 KB