In what ratio should sugar costing ₹38 per kg be mixed with sugar costing ₹55 per kg so that by selling the mixture at ₹57.20 per kg, there is a profit of 10%?
In what ratio should sugar costing ₹38 per kg be mixed with sugar costing ₹55 per kg so that by selling the mixture at ₹57.20 per kg, there is a profit of 10%?
₹38 प्रति किलोग्राम मूल्य वाली चीनी को ₹55 प्रति किलोग्राम मूल्य वाली चीनी के साथ किस अनुपात में मिलाया जाए ताकि मिश्रण को ₹57.20 प्रति किलोग्राम पर बेचने पर 10% लाभ हो?
Detailed Solution & Logic
Correct Answer:
3 : 14
Selling price of mixture = ₹57.20 per kg
Profit = 10%
So, Cost Price of mixture:
$CP = \frac{57.20 \times 100}{110}$
$= ₹52$ per kg
Now apply alligation method:
Cheaper sugar = ₹38/kg
Dearer sugar = ₹55/kg
Mean price = ₹52/kg
Ratio of mixing:
$= (55 - 52) : (52 - 38)$
$= 3 : 14$
Required ratio = 3 : 14
Correct option: 3 : 14
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