| A shopkeeper bought 30 kg of wheat at the rate of Rs. 45 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. Approximately, at what price per kg should he sell the remaining quantity to make 25% overall profit? |
A) Rs. 54
B) Rs. 52
C) Rs. 50
D) Rs. 60
E) Rs. 56
Correct Answer: C
Solution :
| Cost price of 30 kg of wheat |
| \[=30\times 45=Rs.\,\,1350\] |
| Total SP for an overall profit of 25% |
| \[=\,\,\frac{1350\times 125}{100}=Rs.\,1687.5\] |
| SP of 12% of 30 kg wheat = SP of 12 kg wheat |
| \[=12\times 50=Rs.\,600\] |
| Expected SP of 18 kg of remaining wheat |
| \[=1687.5-600\text{ }=Rs.\,\,1087.5\] |
| Required selling price per kg |
| \[=\,\,\frac{1087.5}{18}\approx Rs.\,\,60\] |
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