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A tradesman marks his goods at such a price that after allowing a discount of $15 %,$ he makes a profit of $20 % .$ what is the marked price of an article whose cost price is Rs.170?

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Rs.256

Rs.287

Rs.240

Rs.345

answer is C.

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Detailed Solution

Given,
Cost price (CP) of the article is Rs.170.
Gain = 20%
Discount = 15%
The selling price (SP) is,

SP = 100 + profit % 100 CP ⇒ 100 + 20 100 (170) ⇒ 20400100 ⇒ 204

Let the MP of the article be Rs.x.

D i s c o u n t = 15 %

Discount percentage is,

Discount % = Discount MP (100)

⇒ 15 = Discount x (100) ⇒ Discount = 0.15 x

Now, selling price is,

SP = MP − Discount 204 = x − 0.15 x 0.85 x = 204 ⇒ x = 240

Thus, the market price of the article is Rs.240.
Therefore, option (3) is correct.

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