Two types of tea are mixed. The first type costs ₹18 per kg and the second type costs ₹20 per kg. In what ratio should these be mixed so that by selling the mixture at ₹21 per kg, a profit of 10% is gained?
Two types of tea are mixed. The first type costs ₹18 per kg and the second type costs ₹20 per kg. In what ratio should these be mixed so that by selling the mixture at ₹21 per kg, a profit of 10% is gained?
दो प्रकार की चाय को मिलाया जाता हैं। पहली प्रकार की चाय की कीमत ₹18 प्रति किलोग्राम है और दूसरी प्रकार की चाय की कीमत ₹20 प्रति किलोग्राम हैं। इन्हें किस अनुपात में मिलाया जाना चाहिए ताकि मिश्रण को ₹21 प्रति किलोग्रम पर बेचने पर 10% का लाभ प्राप्त हो?
Detailed Solution & Logic
5 : 6
Selling price $= 21$ per kg and profit $= 10%$
Cost price of mixture:
$ \text{CP} = \dfrac{21}{1.10} = 19.09 $
Using alligation:
Cheaper tea $= 18$
Costlier tea $= 20$
Mean price $= 19.09$
Ratio:
$20 - 19.09 = 0.91$
$19.09 - 18 = 1.09$
Required ratio:
$18 : 20 = 0.91 : 1.09 \approx 5 : 6$
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