If the selling price is doubled, the profit triples. Find the profit %:
Answer & explanation
Correct answer: option 4
Assume Selling Price be S
Cost Price = C
Profit = P = S-C
New Doubled Selling Price S' = 2S
New Tripled Profit P' = 3P
P% = 3P*100/C = 3(S-C)*100/C ..... (1)
Also P% = (2S-C)*100/C ....(2)
Equating 1and 2, 3(S-C)*100/C = (2S-C)*100/C
3S - 3C = 2S - C
S = 2C
P = (S-C) = (2C-C) = C
P% = C*100/C = 100%
The correct answer is Option (4) → 100%