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An article is sold at 25% discount but charged 10% tax on the selling price. If the marked price is 50% above the cost price and the article is sold at Rs.85.5 more than the cost price. Find the cost price of the article.
390
360
420
400
None of these
- The marked price (MP) is 50% above the cost price (CP), so MP = 1.5 × CP.
- A 25% discount is given, so the selling price (SP) = MP × 0.75.
- A 10% tax is added, making the sale price (final price) = SP × 1.10.
- We are given that this final sale price is Rs.85.5 more than the cost price (CP).
Let's solve:
1. Let CP be 'x'.
2. Marked price (MP) = 1.5x.
3. Selling price after discount = 1.5x × 0.75 = 1.125x.
4. Sale price with tax = 1.125x × 1.10 = 1.2375x.
5. This is Rs.85.5 more than cost price. So, 1.2375x = x + 85.5.
6. 0.2375x = 85.5.
7. x = 85.5 / 0.2375 = 360.
- The Cost Price is Rs.360.
- Option 1: Rs.390 (incorrect)
- Option 2: Rs.360 (correct)
- Option 3: Rs.420 (incorrect)
- Option 4: Rs.400 (incorrect)
- Option 5: None of these (incorrect)
By: Parvesh Mehta ProfileResourcesReport error
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