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  1. A shopkeeper allows a discount of 12.5 % on the marked price of a certain article and makes a profit of 20 %. If the article costs the shopkeeper ₹ 210, then the marked price of the article will be
    1. ₹ 387
    2. ₹ 350
    3. ₹ 386
    4. ₹ 288
Correct Option: D

Let Marked price of article = ₹ p

∴ 
p × (100 − 12.5)
=
210 × 120
100100

⇒  p × 87.5 = 210 ×120
⇒  p =
210 × 120
= ₹ 288
87.5

2nd method to solve this question.
Here,R= 20%, D = 12.5%,
C.P. = ₹ 210, M.P. = ?
M.P.
=
100 + r
C.P.100 − D

M.P.
=
100 + 20
210100 − 12.5

M.P. =
120
× 210
87.5

Hence Marked Price = ₹ 288


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