Anup bought some pens for ₹9,500. He sold 40% of the pens at a loss of 12% and one-third of the remaining pens at a profit of 25%. At what percent profit should he sell the remaining pens to earn a profit of 10% in the entire transaction?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 24.5%.
Total CP = 9500
Total SP = (110/100) × 9500 = 10450
SP of 40% pen = (40/100) × 9500 × (88/100) = 3344
1/3 of the remaining 60% = 20% pens at 25% profit
SP = (20/100) × 1900 × (125/100) = 2375
Remaining pens = (40/100) × 9500 = 3800
Required SP = 10450 - 3344 - 2375 = 4731
Profit for remaining = 4731 - 3800 = 931
Profit percentage = (931/3800) × 100 = 24.5%