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  1. The marked price of an article is 10 % higher than the cost price. A discount of 10 % is given on the marked price. In this kind of sale, the seller bears.
    1. no loss, no gain
    2. a loss of 5%
    3. a gain of 1%
    4. a loss of 1%
Correct Option: D

Let C.P. of article = ₹ 100
Marked price = ₹ 110

S.P. =
110 × 90
= ₹ 99
100

Loss = 100 – 99 = ₹ 1 = 1%
2nd method to solve this question.
Here, r = 10%, r1 = 10%
Gain or Loss %=
r ×(100 − r1)
− r1
100

Gain or Loss % =
10 × (100 − 10)
− 10
100

Gain or Loss % = 9 – 10 = –1 (–ve sign shows loss)
⇒  Loss = 1%



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