An article is sold at a profit of 17%. If the selling price is doubled, the profit will be:

Correct option is D

Given:

Profit on the article = 17%

The selling price is doubled.

To find: The new profit when the selling price is doubled.

Formula Used:

Profit = Selling Price - Cost Price

Profit Percentage =$$\frac{\text{Profit}}{\text{Cost Price}} \times 100$$​​

Solution:

Let the cost price (C.P.) of the article be C.

Selling price (S.P.) with 17% profit:

Profit = 17% of Cost Price = $$\frac{17}{100} \times$$​C = 0.17C

Selling Price = Cost Price + Profit = C + 0.17C = 1.17C

When the selling price is doubled:

New Selling Price = 2 × 1.17C = 2.34C

New Profit = New Selling Price - Cost Price = 2.34C - C = 1.34C

New Profit Percentage =$$\frac{1.34C}{C} \times 100 = 134\%$$​​

If the selling price is doubled, the profit will be 134%.