An item was sold at Rs. 5,474 after two successive discounts of 12.5% and 8% were offered on its Marked Price. What was the Marked Price (in Rs.) of the item? 

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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 11 Aug, 2023 Shift 4)
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  1. 6,750
  2. 7,000
  3. 6,800
  4. 6,600

Answer (Detailed Solution Below)

Option 3 : 6,800
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Detailed Solution

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GIVEN:

The selling price is Rs 5474

Successive discounts are 12.5% and 8%

FORMULA USED:

S.P. = (1 - d1/100 ) × ( 1- d2/100) × M.P.

Where, S.P. = Selling price , M.P. = Marked price ,

d1 and d2 are successive discount percent respectively 

CALCULATION:

We know that,

S.P. =  ( 1- d1/100 ) × ( 1- d2/100) × M.P. 

⇒ 5474 = ( 1- 12.5/100 ) × ( 1 - 8/100) × M.P. 

⇒ 5474 = 7/8 × 23/25 × M.P. 

⇒ M.P = 8 × 25 × 34 

⇒ M.P. = 6800

Hence, the Marked Price of an article is Rs 6800.

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