Harsh purchased a scooter for ₹48,000. He sold it at a loss of 15%. With that money he purchased another scooter and sold it at a profit of 22.5%. What is his overall loss/profit percentage?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Profit 4.125%
Concept Used :
S.P. = C.P. × (100 + P/L)/100
Given that, C.P.1 = ₹48,000
Loss = 15%
S.P.1 = 48,000 × (85/100)
S.P.1 = 40,800
Now, C.P.2 = S.P.1
Profit = 22.5%
S.P.2 = 40,800 × (122.5/100)
S.P.2 = 49,980
Now, total C.P. = C.P.1 + C.P.2 = 48,000 + 40,800 = 88,800
Total S.P. = S.P.1 + S.P.2 = 40,800 + 49,980 =90,780
So, Profit = S.P. - C.P.
Profit = 90,780 - 88,800
Profit = 1980
Profit % = (Profit/C.P.) × 100
Profit % = (1,980/88,800) × 100
Profit % = 4.125
Hence the required profit is 4.125%.