Question
Download Solution PDFThe difference between the selling prices of an article available in two schemes of successive discounts 25% followed by 30%, and 25% followed by 20% is Rs. 75. Find the marked price of the article (in Rs.).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Discounts = [25% and 30%, 25% and 20%]
Difference in selling prices = Rs. 75
Concept:
Successive discounts can be calculated by taking the product of the reductions, and the difference of the selling prices can be used to calculate the original price.
Calculation:
⇒ Let the marked price be x.
⇒ Price after first set of discounts = x × (1 - 25/100) × (1 - 30/100) = x × 0.75 × 0.7
⇒ Price after second set of discounts = x × (1 - 25/100) × (1 - 20/100) = x × 0.75 × 0.8
⇒ Given that the difference between these two is Rs. 75, we have:
⇒ x × 0.75 × 0.8 - x × 0.75 × 0.7 = 75
⇒ x = 75/(0.075) = Rs. 1000
Therefore, the marked price of the article is Rs. 1000.
Last updated on Jul 8, 2025
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