Ankita buys 4 kg cashews, 14 kg peanuts, and 6 kg almonds when the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent in buying almonds is:

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To solve this problem:

1. Ankita has a total of $$24 \, 	ext{kg}$$ of nuts (4 kg cashews, 14 kg peanuts, and 6 kg almonds). Let the average buying price per kg of nuts be $$x \, 	ext{rupees}$$.

2. Ankita planned to make a profit of ₹1752 on these $$24 \, 	ext{kg}$$, so the marked price per kg becomes:  
   $$
   	ext{Marked Price per kg} = \frac{4296 + 1752}{24} = ₹73
   $$

3. She sells $$4 \, 	ext{kg}$$ at this marked price and the remaining $$20 \, 	ext{kg}$$ at a $$20\%$$ discount on the marked price:  
   $$
   	ext{Profit Calculation: } (4 	imes ₹73) + (20 	imes ₹73 	imes 0.8) - ₹4296 = ₹744
   $$

4. From the given condition, "The cost of $$7 \, 	ext{kg}$$ cashews is equal to $$30 \, 	ext{kg}$$ peanuts or $$9 \, 	ext{kg}$$ almonds," we derive the per kg costs:  
   Let $$C$$, $$P$$, and $$A$$ be the per kg costs of cashews, peanuts, and almonds respectively:  
   - $$7C = 30P = 9A$$
   - Solving gives: $$C = ₹90$$, $$P = ₹21$$, and $$A = ₹70$$.

5. The cost of purchasing $$6 \, 	ext{kg}$$ almonds is:  
   $$
   A = ₹70;\, 	ext{Total Almond Cost} = 6A = ₹1680
   $$

Thus, Ankita spent **₹1680** on buying almonds.

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