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After successive discounts of 10% and 5%, an article was sold for Rs.342. What was the original price of the article?
Rs.400
Rs.342
Rs.300
Rs.442
- The article is sold after two successive discounts.
- First, a 10% discount is applied:
- If the original price is Rs. X, then the price after a 10% discount is 0.9X.
- Next, a 5% discount is applied to the discounted price:
- The price after the additional 5% discount becomes 0.95 * 0.9X = 0.855X.
- The final price after both discounts is Rs. 342; thus, 0.855X = 342.
- Solving for X, X = 342 / 0.855, which equals Rs. 400.
- This makes the original price Rs. 400.
Option 1: Rs. 400
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