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  1. A man buys an article for ₹ 80 and marks it at ₹ 120. He then allows a discount of 40%. What is the loss or gain percent ?
    1. 12% gain
    2. 12% loss
    3. 10% gain
    4. 10% loss
Correct Option: D

Given that , CP of article = ₹ 80 and marked price = ₹ 120

Discount = 120 ×
40
= ₹ 48
100

∴  S.P. = ₹ (120 – 48) = ₹ 72
Loss = 80 – 72 = ₹ 8
∴  Loss % =
8
× 100 = 10%
80

Second method to solve this question :
Here, C.P. = Rs. 80, M.P. = Rs. 120, D = 40%
Using the given formula ,
M.P.
=
100 + r
C.P.100 − D

120
=
100 + r
80100 − 40

3
=
100 + r
260

90 = 100 + r
r =–10% (–ve sign shows loss)
⇒  Loss = 10%


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