A shopkeeper marks his goods in such a way that after allowing a discount of 22% he gains 20%. If the cost price of the article is ₹650, then its marked price is:

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. ₹900
  2. ₹1,000
  3. ₹850
  4. ₹950

Answer (Detailed Solution Below)

Option 2 : ₹1,000
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Detailed Solution

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Given:

A shopkeeper marks his goods in such a way that after allowing a discount of 22% he gains 20%. If the cost price of the article is ₹650

Formula used:

If a shopkeeper wants a profit of R% after allowing a discount of r%

Then cost price = Market price × \(\frac{100-r}{100+R}\)

Calculation:

As per the question,

650 = marked price × (100 - 22) / (100 + 20)

⇒  marked price = 650 × 120 / 78

⇒ Rs 1000

So the marked price of the article is Rs 1000

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