Correct Answer - Option 2 : 100%
Given:
The selling price is quintuple
The profit goes up to 9 times
Concept used:
P = S.P – C.P
P% = (P/C.P) × 100
Where,
P → Profit
S.P → Selling price
C.P → Cost price
Calculation:
Let the C.P. be x
Let the S.P. be y
Now, 9(y - x) = 5y – x
⇒ 9y – 9x = 5y – x
⇒ 9y – 5y = 9x – x
⇒ 4y = 8x
⇒ y = 2x
So, Profit = y – x
⇒ 2x – x
⇒ x
Profit% = (x/x) × 100 = 100%
∴ The profit percentage is 100%.