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An article was sold at 65% of its marked price, and thus there was a gain of 30%. Find the ratio of the marked price to cost price.
3:2
4:3
2:1
3:1
- An article is sold at 65% of its marked price. Let's call the marked price \( M \) and the cost price \( C \).
- The selling price \( S \) is thus 0.65M.
- The problem states that selling at this price gives a gain of 30%.
- This means: \( S = 1.3C \).
- Equating the two expressions for the selling price, we have: \( 0.65M = 1.3C \).
- Solving for the ratio of the marked price to the cost price: \( M/C = 1.3/0.65 = 130/65 = 2:1 \).
- Therefore, the correct answer is:
Option 3: 2:1
By: santosh ProfileResourcesReport error
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