Markup then discount: If the marked price of an article is 30% more than its cost price and a 10% discount is given, what is the profit percentage?

Introduction / Context:This is a straightforward chain of percentage changes: a markup from CP to MP, then a discount from MP to SP. The final profit percentage compares SP to CP.

Given Data / Assumptions:

• MP = CP * 1.30
• Discount = 10% ⇒ SP = MP * 0.90

Concept / Approach:Compute SP in terms of CP, then profit% = [(SP − CP)/CP] * 100%. Use an easy base (CP = 100) to simplify mental arithmetic.

Step-by-Step Solution:

Verification / Alternative check:General form: SP = 1.30*0.90*CP = 1.17*CP ⇒ profit is 17% of CP.

Why Other Options Are Wrong:Other values do not match the computed 1.17 multiplier relative to CP.

Common Pitfalls:Confusing 30% − 10% with the final profit; percentages compound multiplicatively, not additively.

Final Answer:17%