| A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kg. He mixes them in the ratio 3: 4: 5 by weight and sell them at a profit of 50%. At what price does he sell the dry fruits? |
A) Rs. 80 per kg
B) Rs. 110 per kg
C) Rs. 95 per kg
D) Rs. 115 per kg
Correct Answer: D
Solution :
| \[\text{Gain}\]%\[=\frac{(a+b+c)z-(ax+by+ck)}{ax+by+ck}\times 100\] |
| \[50=\frac{(3+4+5)z-(100\times 3+80\times 4+60\times 5)}{100\times 3+80\times 4+60\times 5}\times 100\]\[\Rightarrow \]\[50=\frac{12z-\,\,(300+320+300)}{300+320+300}\times 100\] |
| \[\Rightarrow \]\[12\,\,z=1380\]\[\Rightarrow \]\[z=\text{Rs}.\,\,115\,\,\text{per}\,\,\text{kg}\] |
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