What will be the cost price of the goods if a shopkeeper allows a discount of 10% on the marked price of Rs. 100 and gains 8%(rounded off to the nearest integer)?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)
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  1. Rs. 83
  2. Rs. 86
  3. Rs. 87
  4. Rs. 81

Answer (Detailed Solution Below)

Option 1 : Rs. 83
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Detailed Solution

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Calculations:

Given, Marked price = Rs. 100

Gain percentage = 8%

Discount percentage = 10%

We know that, 

∴ Selling price = 100 × (1 – 10/100)

= 90

We also know that,

∴ 90 = C.P. × (1 + 8/100)

⇒ C.P = 90 × 100/108

Since C.P. is Rs.1000/12 = Rs.83.33 ~ 83

∴ The cost price is Rs. 83.

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