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  1. A trader marked the selling price of an article at 10% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed the discount of :
    1. 11%
    2. 10%
    3. 9%
    4. 10.5%
Correct Option: B

Let C.P. be 100
Marked price = 110
∴  p% of 110 = 11

⇒  p =
11 × 100
= 10%
100

2nd method to solve this question.
Here, loss % = 1%, r = 10%, rr1 = p%
loss % =
r × (100 − r1)
− r1
100

−1 =
100 × (100 − p)
− p
100

(–ve sign for loss)
–100 = 1000 – 10p – 100p
110p = 1100
p = 10%
⇒  r1 = 10%



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