A shopkeeper sells an article for Rs 78 and earns double the profit that he would have earned on selling this article for Rs 69. Find the C.P of this article.

QuestionA shopkeeper sells an article for Rs 78 and earns double the profit that he would have earned on selling this article for Rs 69. Find the C.P of this article.
Typemultiple_choice
Option62incorrect
Option61.5incorrect
Option55.5incorrect
Option60correct
SolutionApply formula:
Profit = S.P – C.P
ATQ, the shopkeeper earns the double profit that he would have earned had he sold it for Rs 69.
Profit% = 2 (profit %)
S.P – C.P = 2* (S.P – C.P)
Let C.P = x
78 – x = 2 * (69 – x)
78- x= 138 – 2x
x= 138 – 78
x= 60 Hence, the cost price of the article = 60.
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