# If the selling price is quintupled, the profit goes up to 9 times, Find the profit percentage.

18 views
in Aptitude
closed

If the selling price is quintupled, the profit goes up to 9 times, Find the profit percentage.

1. 120%
2. 100%
3. 80%
4. 150%

by (55.2k points)
selected

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%.