The marked price on a book is ₹1,000. In a book fair, it is available for sale with a discount scheme offering two successive discounts of 12% and 8%. What is the final selling price (in ₹) of the book for a customer (rounded off to the nearest integer)? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 4)
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  1. 810
  2. 790
  3. 825
  4. 800

Answer (Detailed Solution Below)

Option 1 : 810
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Detailed Solution

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Given:

The marked price on a book is ₹1,000. In a book fair, it is available for sale with a discount scheme offering two successive discounts of 12% and 8%

Concept used:

Profit is calculated on cost price and discount is calculated on market price.

Single discount equivalent to two successive discounts of a % and b %

= (a + b - \(\frac{a \space × \space b}{100}\) ) %

Calculation:

Here, a = 12 % , and b =  8 %

So, the single discount = (12 + 8 - \(\frac{12 \space × \space 8}{100}\)) %

⇒ (20 - .96) %

⇒ 19.04 %

Selling price after getting 19% discount,

⇒ 1000 × 81 /100 = Rs 810

∴ The correct option is 1

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