Question : Nalini purchased 20 dozen apples at INR 48 per dozen. She sold 8 dozen of them at 10% profit and the remaining 12 dozen at 20% profit. What is the overall profit percentage gained in this transaction?
Option 1: 10%
Option 2: 45%
Option 3: 16%
Option 4: 22%
Correct Answer: 16%
Solution :
Nalini purchased 20 dozen apples at = ₹48 per dozen
Here CP is the cost price and SP is the selling price.
CP of 20 dozen apples = 48 × 20 = 960
SP of 8 dozen apples = 48 × 8 = 384
SP of 12 dozen apples = 960 – 384 = 576
Total SP = $\frac{110}{100} \times 384 + \frac{120}{100} \times 576$ = 1113.60
Profit = 1113.60 – 960 = 153.6
Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100=\frac{153.6}{960} \times 100= 16\%$
Hence, the correct answer is 16%.
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