A vendor mixes two rice types costing Rs. 30/kg and Rs. 50/kg in the ratio 3: 2, but he mistakenly sells it at a loss of 10%.
A vendor mixes two rice types costing Rs. 30/kg and Rs. 50/kg in the ratio 3: 2, but he mistakenly sells it at a loss of 10%. What is the selling price per kg?
एक विक्रेता ₹30/किग्रा और ₹50/किग्रा वाले दो प्रकार के चावल, को 3:2 के अनुपात में मिलाता है, लेकिन गलती से 10% हानि पर बेच देता है। प्रति किग्रा विक्रय मूल्य क्या है?
Detailed Solution & Logic
Rs. 34.20/ 34.20 रुपये
Step 1: मिश्रण की कीमत (Cost Price per kg)
दोनों चावल की कीमत और अनुपात:
-
₹30/kg : 3 भाग
-
₹50/kg : 2 भाग
मिश्रण की कीमत प्रति किलो = $\frac{(3 \cdot 30) + (2 \cdot 50)}{3 + 2}$
$ = \frac{90 + 100}{5} = \frac{190}{5} = 38 $
तो मिश्रण की कीमत $38 \text{ रुपये/किलो}$ है।
Step 2: 10% के नुकसान पर बिक्री मूल्य
यदि 10% का नुकसान है, तो
$ \text{Selling Price} = \text{Cost Price} \times \left(1 - \frac{10}{100}\right) $
$ \text{Selling Price} = 38 \times 0.9 = 34.2 $
उत्तर: ₹34.20 प्रति किलो
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