1) An article is sold for 500 and hence a loss is incurred. Had the article been sold for *700, the shopkeeper would have gained three times the former loss. What is the cost price of the article?
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Answer:-
Let the loss in the first case=Rs x by when the article is sold at Rs 500.
Let the loss in the first case=Rs x by when the article is sold at Rs 500.∴ Its C.P.=(500+x).(i)
Let the loss in the first case=Rs x by when the article is sold at Rs 500.∴ Its C.P.=(500+x).(i)In the second case The S.P.=Rs700 and he gains 3 times of Rs x.
Let the loss in the first case=Rs x by when the article is sold at Rs 500.∴ Its C.P.=(500+x).(i)In the second case The S.P.=Rs700 and he gains 3 times of Rs x.∴Rs(700−500−x)=Rs 3x
Let the loss in the first case=Rs x by when the article is sold at Rs 500.∴ Its C.P.=(500+x).(i)In the second case The S.P.=Rs700 and he gains 3 times of Rs x.∴Rs(700−500−x)=Rs 3xOr 4x=200
Let the loss in the first case=Rs x by when the article is sold at Rs 500.∴ Its C.P.=(500+x).(i)In the second case The S.P.=Rs700 and he gains 3 times of Rs x.∴Rs(700−500−x)=Rs 3xOr 4x=200Or x=Rs 50.
Let the loss in the first case=Rs x by when the article is sold at Rs 500.∴ Its C.P.=(500+x).(i)In the second case The S.P.=Rs700 and he gains 3 times of Rs x.∴Rs(700−500−x)=Rs 3xOr 4x=200Or x=Rs 50.∴ From (i) the C.P.=Rs (500+50)=Rs 550.
Let the loss in the first case=Rs x by when the article is sold at Rs 500.∴ Its C.P.=(500+x).(i)In the second case The S.P.=Rs700 and he gains 3 times of Rs x.∴Rs(700−500−x)=Rs 3xOr 4x=200Or x=Rs 50.∴ From (i) the C.P.=Rs (500+50)=Rs 550.So the cost price of the article =Rs 550.
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Answer:
cost price is 550
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