| A man bought oranges at the rate of 8 for Rs. 34 and sold them at the rate of 12 for Rs. 57. How many oranges should be sold to earn a net profit of Rs. 45? |
A) 90
B) 100
C) 135
D) 150
Correct Answer: A
Solution :
| \[\because \] CP of 8 oranges = Rs. 34 |
| \[\therefore \] CP of 1 oranges \[=Rs.\frac{34}{8}\] |
| and SP of 12 oranges = Rs. 57 |
| \[\therefore \] SP of 1 orange \[=Rs.\frac{57}{12}\] |
| \[\Rightarrow \] Gain \[=\frac{57}{12}-\frac{34}{8}=\frac{114-102}{24}=\frac{1}{2}\] |
| Hence, number of oranges \[=\frac{45}{1/2}=90\] |
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