Radhika bought an article with a 20% discount on the marked price. She made a…
2025
Radhika bought an article with a 20% discount on the marked price. She made a profit of ₹4,800 by selling it for ₹32,480. The marked price of the article is:
Answer: C. ₹34,600 — To find the marked price of the article, we can break the problem down into the steps of calculating the cost price first and then deriving the marked price.…
- A.
₹37,280
- B.
₹29,824
- C.
₹34,600
- D.
₹40,600
- E.
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Correct answer: C
To find the marked price of the article, we can break the problem down into the steps of calculating the cost price first and then deriving the marked price.
Step-by-Step Analysis
Find the Cost Price (CP):
Radhika sold the article for ₹32,480 and made a profit of ₹4,800.
The formula for Cost Price is: CP = Selling Price - Profit.
CP = 32,480 - 4,800 = ₹27,680.
Find the Marked Price (MP):
Radhika bought the article with a 20% discount on the marked price. This means the Cost Price (CP) she paid is equal to 80% of the Marked Price (MP) (since 100% - 20% = 80%).
The formula is: CP = 0.80 * MP.
27,680 = 0.80 * MP.
MP = 27,680 / 0.80.
MP = ₹34,600.