Correct Answer - Option 3 : 25%
Given:
Discount is 8%
Profit is 15%
Formula used:
SP = {(100 - D%)/100} × MP
SP = {(100 + P%)/100} × CP
where,
P% is Profit percent
SP is Selling price
CP is Cost price
MP is Marked price
Calculations:
Let the marked price of the artice be 100 units
According to the question, we have
The selling price of an article is
SP = {(100 - D%)/100} × 100
⇒ SP = {(100 - 8)/100} × 100
⇒ SP = 92 units
The cost price of an article is
SP = {(100 + P%)/100} × CP
⇒ 92 = {(100 + 15)/100} × CP
⇒ CP = (92 × 100)/115
⇒ CP = 80 units
Now, Difference between the cost price and marked price is
⇒ Difference = MP - CP
⇒ Difference = 100 units - 80 units
⇒ Difference = 20 units
Required percentage is
⇒ Required percentage = (Difference/CP) × 100
⇒ Required percentage = (20/80) × 100
⇒ Required percentage = 25%
∴ 25% Percent should he mark on the article to earn 15% profit.
