Pankaj offers a cash discount of Rs. 250 first and then two successive discounts of 8% and 5% on the sale of a chair. If the marked price of the chair is Rs. 4,250, what is the final price of the chair for a customer after the given discount scheme? 

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SSC GD Constable (2022) Official Paper (Held On : 17 Jan 2023 Shift 4)
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  1. Rs. 3,496
  2. Rs. 3,550
  3. Rs. 3,600
  4. Rs. 3,450

Answer (Detailed Solution Below)

Option 1 : Rs. 3,496
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Detailed Solution

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Given:

Marked price of chair = Rs. 4250

Cash discount = Rs. 250

Successive discounts = 8%, 5%

Concept:

For successive discounts, calculate each one separately on the reduced amount.

Solution:

Price after cash discount = Marked price - Cash discount

⇒ Price after cash discount = 4250 - 250

⇒ Price after cash discount = Rs. 4000

Price after first discount = Price after cash discount - (Price after cash discount × First discount)

⇒ Price after first discount = 4000 - (4000 × 0.08)

⇒ Price after first discount = 4000 - 320

⇒ Price after first discount = Rs. 3680

Price after second discount = Price after first discount - (Price after first discount × Second discount)

⇒ Price after second discount = 3680 - (3680 × 0.05)

⇒ Price after second discount = 3680 - 184

⇒ Price after second discount = Rs. 3496

Therefore, the final price of the chair for a customer after the given discount scheme is Rs. 3496.

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