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An article is sold at 13% discount and made a gain of 30.5%. If it is sold at 30% discount, then find gain/loss percentage.?
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An article is sold at 13% discount and made a gain of 30.5%. If it is ...
Understanding the Problem
To solve for the gain or loss percentage when the article is sold at a 30% discount, we first need to establish the cost price (CP) and the selling price (SP) based on the initial conditions provided.

Given Data
- Discount = 13%
- Gain = 30.5%

Calculating the Selling Price at 13% Discount
- Let the cost price (CP) be \( x \).
- The selling price (SP) can be calculated using the gain formula:
\[
SP = CP + \text{Gain} = x + 0.305x = 1.305x
\]
- Since the article is sold at a 13% discount:
\[
SP = \text{Marked Price} - \text{Discount} = \text{Marked Price} - 0.13 \times \text{Marked Price} = 0.87 \times \text{Marked Price}
\]
- Equating the two SPs:
\[
1.305x = 0.87 \times \text{Marked Price}
\]

Finding the Marked Price
- Rearranging gives us:
\[
\text{Marked Price} = \frac{1.305x}{0.87} \approx 1.5x
\]

Calculating Selling Price at 30% Discount
- Now, if the article is sold at a 30% discount:
\[
SP = \text{Marked Price} - 0.30 \times \text{Marked Price} = 0.70 \times \text{Marked Price}
\]
- Substituting the Marked Price:
\[
SP = 0.70 \times 1.5x = 1.05x
\]

Calculating Gain/Loss Percentage
- Gain/Loss = \( SP - CP = 1.05x - x = 0.05x \)
- Gain/Loss Percentage =
\[
\left( \frac{0.05x}{x} \right) \times 100 = 5\%
\]

Conclusion
When sold at a 30% discount, the article results in a gain of **5%**.
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An article is sold at 13% discount and made a gain of 30.5%. If it is sold at 30% discount, then find gain/loss percentage.?
Question Description
An article is sold at 13% discount and made a gain of 30.5%. If it is sold at 30% discount, then find gain/loss percentage.? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about An article is sold at 13% discount and made a gain of 30.5%. If it is sold at 30% discount, then find gain/loss percentage.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article is sold at 13% discount and made a gain of 30.5%. If it is sold at 30% discount, then find gain/loss percentage.?.
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