In what ratio should sugar costing ₹36 per kg be mixed with sugar costing ₹13 per kg so that selling the mixture at ₹15.4 per kg gives a profit of 10%?
In what ratio should sugar costing ₹36 per kg be mixed with sugar costing ₹13 per kg so that selling the mixture at ₹15.4 per kg gives a profit of 10%?
₹36 प्रति kg वाली चीनी को ₹13 प्रति kg वाली चीनी के साथ किस अनुपात में मिलाया जाना चाहिए ताकि मिश्रण को ₹15.4 प्रति kg पर बेचने पर 10% का लाभ हो?
Detailed Solution & Logic
Correct Answer:
1 : 22
Selling price of mixture = ₹15.4 per kg
Profit = 10%
Therefore, cost price of mixture:
$CP=\frac{15.4 \times 100}{110}=14$ per kg
Now apply allegation:
Costlier sugar = ₹36/kg
Cheaper sugar = ₹13/kg
Mean price = ₹14/kg
Ratio of mixing =
$(14-13):(36-14)$
$=1:22$
$\therefore$ Correct Answer: 1 : 22 ✅
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