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  1. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price ?
    1. 9%
    2. 11%
    3. 18%
    4. 20%
Correct Option: D

Let the cost price be ₹ 100 and marked price be p.

∴ 
p × 90
= 108
100

⇒ 
9p
= 108
10

⇒  p =
108 × 10
= 120
9

Required Percent = 20%
2nd method to solve this question.
Here, Gain % = 8%,, r1 = 10%, r = ?
Gain % =
r ×(100 − r1)
− r1
100

8 =
r × (100 − 10)
− 10
100

8 =
r × 90
− 10
9

18 =
r × 9
= 20%
9


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