The selling price of the table is Rs.22680 after a discount of 16%. If the cost price is 75% of the marked price, then what is the cost price. (In Rs.)

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UP Police SI (दरोगा) Official PYP (Held On: 15 Nov 2021 Shift 3)
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  1. 20450
  2. 20350
  3. 20550
  4. 20250

Answer (Detailed Solution Below)

Option 4 : 20250
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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20 Questions 50 Marks 10 Mins

Detailed Solution

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Given:

The selling price of the table after 16% discount = ₹22,680

Cost price = 75% of the marked price

Formula used:

Selling Price (SP) = Marked Price (MP) × (1 - Discount/100)

Cost Price (CP) = Marked Price (MP) × (75/100)

Calculations:

SP = ₹22,680, Discount = 16%

⇒ ₹22,680 = MP × (1 - 16/100)

⇒ ₹22,680 = MP × (84/100)

⇒ MP = ₹22,680 × (100/84)

⇒ MP = ₹27,000

Now, CP = MP × (75/100)

⇒ CP = ₹27,000 × (75/100)

⇒ CP = ₹20,250

∴ The correct answer is option (4).

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