Difficulty: Easy
Correct Answer: 120%
Explanation:
Introduction / Context:
Profit percent is always computed on cost price (CP). If the initial selling price yields a 10% profit, that fixes CP relative to the original SP. Doubling the SP then yields a straightforward new margin over the same CP.
Given Data / Assumptions:
Concept / Approach:
New profit% = ((SP2 − CP)/CP) × 100 = ((2.20x − x)/x) × 100 = 120%.
Step-by-Step Solution:
SP1 gives 10% profit ⇒ SP1 = 1.10x.Doubling SP ⇒ SP2 = 2.20x.Profit% = (1.20x/x) × 100 = 120%.
Verification / Alternative check:
Example: Take x = 100. SP1 = 110. Doubling ⇒ SP2 = 220. Profit = 120 on cost 100 ⇒ 120%.
Why Other Options Are Wrong:
20% and 60% understate; 100% implies doubling from CP, not from SP; 80% still too low.
Common Pitfalls:
Applying the second increase on SP rather than computing profit relative to CP, or adding 100 percentage points incorrectly.
Final Answer:
120%
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