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By selling a book for Rs. 258, a bookseller gains $20 % .$ For how much should he sell it to gain $30 %$ ?

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Rs.779.50

Rs.2367.50

Rs.279.50

Rs.840.50

answer is A.

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Detailed Solution

Given,
The selling price (SP) of the book =Rs.258.
Gain = 20%.
Now, cost price is,

CP = SP 100 100 + gain % ⇒ 258 100 100 + 20 ⇒ 25800120 ⇒ 215

Let the bookseller sells it for Rs. x.
Now, selling price (SP) is,

SP = CP 100 + profit % 100 x = 100 + 30 100 (215) ⇒ 130 (215) 100 ⇒ 279.50

Thus, the bookseller must sell the book at Rs.279.50.
Therefore, option (1) is correct.

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