Question

A shopkeeper gains 25% by selling an article at a discount of 15%. find

1. the marked price of the article
2. cosy price of the article, if the selling price of the article is 1700.

Answer 1

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GIVEN :

=> A SHOPKEEPER GAINS :

=> 25%

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EVEN IF ,

=> HE HAD GIVEN A DISCOUNT OF 15%

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LET,

=> THE MARKED PRICE BE ;

$\huge\bold{mp = 100x}$


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STEP 1 :

=> TO DETERMINE THE DISCOUNT :

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HE GAVE 15% DISCOUNT :

=> 15% OF MARKED PRICE

=> 15% OF 100X

=> 15 / 100 * 100X

$\huge\bold{discount = 15x}$



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STEP 2 :

=> TO DETERMINE THE SELLING PRICE

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SELLING PRICE OF AN ARTICLE :

=> MARKED PRICE - DISCOUNT

=> 100X - 15X

$\huge\bold{sp = 85x}$



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STEP 3 :

=> TO FIND THE COST PRICE :

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PROFIT :

=> 25% OF COST PRICE ( CP )

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SELLING PRICE ;

=> CP + 25% OF CP

=> CP + 25 / 100 * CP

=> CP + 1 / 4 * CP

=> 5 / 4 * CP

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85X = 5 / 4 * CP

=> CP = 85X * 4 / 5

=> CP = 17X * 4

$\huge\bold{cp = 68x}$


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TWIST ;

=> IF SELLING PRICE :

=> 1,700 RS

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STEP 4 ;

=> FIND X

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85X = SELLING PRICE

=> 1,700 = SELLING PRICE

=> SO,

=> 1,700 = 85X

=> X = 1,700 / 85

$\huge\bold{x = 20}$


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STEP 5 :

=> FIND COST PRICE AND MARKED PRICE

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COST PRICE :

=> 68X

=> 68 * 20

$\huge\bold{1360 \: rs}$


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MARKED PRICE :

=> 100X

=> 100 * 20

$\huge\bold{2000 \: rs}$


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HOPE HELPED ......

THANKS .......

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Answer 2

Answer:

@tanu6541 thanks for your answer