Question
Download Solution PDFTwo successive discounts of 40% and 20%, respectively, on the marked price of an article are equal to single discount of Rs 988. The marked price (in Rs) of the article is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two discounts = 40% and 20%
Formula:
Two discounts a% and b%
Total discount = \((a +b)- \frac{ab}{100}\)
Discount amount = (marked price) × (discount %)/100
Calculation:
Single discount percentage = \((40 +20)- \frac{40× 20}{100}\) = 52%
⇒ 52 = 988/marked price × 100
⇒ Marked price = 1900
∴ Marked price of an article is Rs.1900.
Alternate MethodLet the MP be x.
x - [x × (100 - 40)/100 × (100 - 20)/100] = 988
⇒ x - [x × (60/100) × (80/100)] = 988
⇒ x - x × (3/5) × (4/5) = 988
⇒ 13x/25 = 988
⇒ x = (988 × 25)/13
⇒ x = 1900
∴ Marked price of an article is Rs.1900.
Last updated on May 28, 2025
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