Applied to a bill for Rs. 50,000, the difference between a discount of 40% and two successive discounts of 36% and 4%, is:

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. Rs. 875
  2. Rs. 1,440
  3. Rs. 1,250
  4. Rs. 720

Answer (Detailed Solution Below)

Option 4 : Rs. 720
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Detailed Solution

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Given:

Marked price (M.P) = Rs.50000

Discount (D)% = 40%

Two successive discounts:

Discount (D1) = 36% ; Discount (D2) = 4%

Formula used:

Effective discount (Ds) = D1 + D2 - (D1 × D2)/100

Calculation:

Effective discount (Ds) = D1 + D2 - (D1 × D2)/100

⇒ 36 + 4 - (36 × 4)/100

⇒ 40 - 1.44 = 38.56%

Difference in the bill after discount = 50000 × (40 - 38.56)%

⇒ 50000 × 1.44% = Rs.720

∴ The correct answer is Rs.720.

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