Question

akhil sells an article to anshul at a gain of 20% and anshul sell it to ashu at a gain of 10% and ashu sells it to amar at a gain of 12½% . if amar gets rupees 14850. find the cost price for akhil.

Answer 1

THANKS FOR THE QUESTION !

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SELLING TRANSICTIONS OF AN ARTICLE :

=> AKHIL => 20% GAIN => ANSHUL

=> ANSHUL => 10% GAIN => ASHU

=> ASHU => 12.5% GAIN => AMAR

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=> AMAR GOT THAT ARTICLE FOR RS 14,850

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LET,

THE ORIGINAL PRICE OF AN ARTICLE BE :

=> 100X

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=> AKHIL GOT THAT ARTICLE FOR RS 100X

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HE SOLD IT TO ANSHUL AT 20% GAIN

GAIN :

=> 20% OF 100X

=> 20 / 100 * 100X.

=> 20X

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SELLING PRICE FOR AKHIL IS :

=> COST PRICE + PROFIT

=> 100X + 20X

=> 120X.

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COST PRICE FOR ANSHUL IS NOW ,

=> 120X

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ANSHUL SOLD TO ASHU AT 10% GAIN

=> GAIN FOR ANSHUL :

=> 10% OF COST PRICE

=> 10% OF 120 X

=> 10 / 100 * 120X

=> 12X

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SELLING PRICE FOR ANSHUL :

=> COST PRICE + GAIN

=> 120X + 12X

=> 132X

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COST PRICE FOR ASHU IS NOW

=> 132 X

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GAIN OF ASHU :

=> GAIN % OF COST PRICE

=> 12.5 % OF 132X

=> 12.5 / 100 * 132X

=> 16.5 X

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SELLING PRICE FOR ASHU :

=> COST PRICE + GAIN

=> 132 X + 16.5 X

=> 148.5 X

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COST PRICE FOR AMAR IS NOW,

=> 148.5 X RS

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BUT WE HAVE GIVEN THE COST PRICE OF AMAR :

=> 14,850 RS

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=> 148.5 X = 14,850 RS

=> X = 14,850 / 148.5

=> X = 100

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THE ORIGINAL PRICE OF AN ARTICLE :

=> 100X

=> 100 * 100

=> 10,000 RS

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SO,

THE COST PRICE FOR AKHIL IS RS 10,000

HOPE IT WILL HELP U......

THANKS AGAIN.....

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