A shopkeeper bought articles A and B for a total Rs. 2,540. He sold A at a gain of 15% and sold B at a loss of 25%. The selling price of A was Rs. 109 more than that of B. His profit or loss percentage in the entire transaction was (rounded off to one decimal place):
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Loss, 8.3%.
Let CP of A = x
1.15x = 0.75(2540 - x) + 109
⇒ 1.15x = 1905 - 0.75x + 109
⇒ 1.9x = 2014
⇒ x = 1060
CP of B = 2540 - 1060 = 1480
SP of A = 1.15 × 1060 = 1219
SP of B = 0.75 × 1480 = 1110
Total SP = 1219 + 1110 = 2329
Loss percentage = [(2540 - 2329)/2540] × 100 ≈ 8.3% loss