Nalini purchased 20 dozen of apples at Rs. 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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16%
Profit = s.p. -c.p.
Profit % = (profit/c.p.) × 100
According to the question, c.p. = 20 × 48 = Rs. 960
c.p. of 8 dozen apples = 8 × 48 = Rs. 384
s.p. of 8 dozen of apples = 384 × (110/100)= Rs. 422.4
c.p. of 12 dozen apples = 12 × 48 = Rs. 576
s.p. of 12 dozen apples = 576 × (120/100) = Rs. 691.2
Total s.p. of 20 dozen apples = 422.4 + 691.2 = Rs. 1113.6
Profit = s.p. - c.p. = 1113.6 - 960 = Rs. 153.6
Profit percentage = (profit/c.p.) × 100
Profit percentage = (153.6/960) × 100 = 16 %
Hence the required profit percentage is 16%.