The marked price of an article is Rs. 10,927. Due festive season, a certain percentage of discount is declared. Raju buys an article at a reduced price and sells it at Rs. 10,927, and makes a profit of 11.5%. What was the percentage discount offered?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 2)
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  1. 10.3%
  2. 11.3%
  3. 11.5%
  4. 10.9%

Answer (Detailed Solution Below)

Option 1 : 10.3%
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Detailed Solution

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Given:

The marked price of an article is Rs. 10,927.

Concept used:

Selling price = Marked price × (100 - Discount)%

Selling price = Cost price × (100 + profit)%

Calculation:

According to the question,

Cost price of Raju × (111.5)/100 = 10927

⇒ Cost price of Raju = 10927 × (100/111.5)

⇒ Cost price of Raju = 9800

Discount = 10927 - 9800

⇒ 1127

Discount% = (1127/10927) × 100

⇒ 10.31 ≈ 10.3%

∴ The percentage discount offered was 10.3%.

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