A shopkeeper allows a discount of 12% to his customers and still gains 18%. Find the marked price of an article which costs Rs. 528 to the shopkeeper.(Answer to the nearest rupees)

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. Rs. 728
  2. Rs. 708
  3. Rs. 695
  4. Rs. 798

Answer (Detailed Solution Below)

Option 2 : Rs. 708
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Detailed Solution

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Given:

Cost price (C.P) = Rs.528

Discount% = 12%

Profit = 18%

Formula used:

C.P/M.P = (100 - D%)/(100 ± P/L%)

Where,

C.P = Cost price; M.P = Marked price; D = discount

Calculation:

According to the question:

⇒ C.P/M.P = (100 - D%)/(100 + P%)

⇒ 528/M.P = (100 - 12)/ (100 + 18)

⇒ M.P = (528 × 118)/88

⇒ M.P = Rs.708

∴ The correct answer is Rs.708.

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