A trader bought 120 scientific calculators, of which 50 were priced at ₹625.50 each, and the rest at ₹712.80 each. Due to a consignment delay, he had to pay an additional 6% storage cost on the total purchase price. He sold 40 of the cheaper ones at a profit of 15%, and the rest at a loss of 10%. All costlier calculators were sold at a 12% profit. What was his overall profit or loss percentage?
Show answer & explanation
Correct answer: B
Explanation
Given:
Total calculators = 120
Cost of 50 calculators = 625.50 per calculator
Cost of 70 calculators = 712.80 per calculator
Storage cost = 6%
40 inexpensive calculators were sold at a profit of 15%
10 inexpensive calculators were sold at a loss of 10%
70 expensive calculators were sold at a profit of 12%
Total value of 50 calculators = 50 × 625.50 = 31275
Total value of 70 calculators = 70 × 712.80 = 49896
Total purchase price = 31275 + 49896 = 81171
Storage cost = 6% × 81171 = 4870.26
Total cost = 81171 + 4870.26 = 86041.26
Selling price of 40 inexpensive calculators = (40 × 625.50) × 1.15 = 28773
Selling price of 10 cheap calculators = (10 × 625.50) × 0.90 = 5629.5
Selling price of 70 expensive calculators = (70 × 712.80) × 1.12 = 55883.52
Total selling price = 28773 + 5629.5 + 55883.52 = 90286.02
Profit = 90286.02 − 86041.26 = 4244.76
Profit % = (4244.76 ÷ 86041.26) × 100 = 4.93%