A shopkeeper gives two consecutive discount of 10% and 5% respectively on his items. He then adds 20% GST on his items. If an item has marked price Rs. 2,000/-, how much more or less of the actual price of the item a customer has to pay?

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CSIR-CLRI JSA 2024 Official Paper-I (Held On: 16 Feb, 2025)
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  1. 2.6% less
  2. 2.6% more
  3. Same price
  4. 5.2% more

Answer (Detailed Solution Below)

Option 2 : 2.6% more
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Detailed Solution

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Given:

Marked Price (MP) = ₹2,000

First Discount (D1) = 10%

Second Discount (D2) = 5%

GST = 20%

Formula used:

Effective Price after discount = MP × (1 - D1/100) × (1 - D2/100)

Price after GST = Effective Price after discount × (1 + GST/100)

Calculation:

Effective Price after discount = 2000 × (1 - 10/100) × (1 - 5/100)

⇒ Effective Price after discount = 2000 × 0.9 × 0.95

⇒ Effective Price after discount = ₹1,710

Price after GST = 1710 × (1 + 20/100)

⇒ Price after GST = 1710 × 1.2

⇒ Price after GST = ₹2,052

Actual Price = ₹2,000

Difference = 2052 - 2000

⇒ Difference = ₹52

Percentage difference = (Difference / Actual Price) × 100

⇒ Percentage difference = (52 / 2000) × 100

⇒ Percentage difference = 2.6%

∴ The correct answer is option 2.

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