Reshma buys two articles A and B for Rs 1,734. She sells A at a loss of 16% and sells B at a gain of 20%. The selling price of both the articles is the same. If A is sold for Rs 1,147.50, then the gain percent on A is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12.5
She sells A at a loss of 16%.
16% = 16/100
CP is 100 then SP will become 84.........(1)
She sells B at a gain of 20%.
20% = 20/100
CP is 100 then SP = 120.......................(2)
SP is the same in both cases.
Multiply the first case by 10 and second by 7 we get,
CP1 = 1000 and SP1 = 840
CP2 = 700 and SP2 = 840
1700 units = 1734
1 units = 1.02
CP of A = 1000 × 1.02 = 1020
SP of A = 1147.5
Profit = 1147.5 - 1020 = 127.5
Profit% = 127.5/1020 × 100 = 12.5%