| A wholesaler blends two varieties of tea, one costing Rs. 60 per kg and another costing Rs. 105 per kg. The respective ratio of quantities they were mixed in was 7: 2. If he sold the mixed variety at Rs. 100 per kg, then how much was his profit percentage? [SBI (PO) Phase 12015] |
A) \[34\frac{2}{7}%\]
B) \[38\frac{2}{5}%\]
C) \[32\frac{2}{5}%\]
D) \[42\frac{6}{7}%\]
E) \[48\frac{6}{7}%\]
Correct Answer: D
Solution :
| Cost price of the mixed variety |
| \[=\,\,60\times \frac{7}{9}+105\times \frac{2}{9}=\frac{420}{9}+\frac{210}{9}\] |
| \[=\,\,\frac{630}{9}=Rs.\,70\,\text{per}\,\text{kg}\] |
| Selling price of the mixed variety = Rs. 100 per kg |
| Profit% \[=\,\,\frac{100-70}{70}\times 100\] |
| \[=\frac{30}{70}\times 100=42\frac{6}{7}%\] |
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