Question

a dishonest shopkeeper does 2% dishonesty at the time of buying and 2% dishonesty at the time of selling find his percentage gain

Answer 1

Answer:

LET the dishonesty be x

2x+2x=?

4x

The shopkeeper do 4%dishonesty

Answer 2

his percentage gain is 4.08 %

Step-by-step explanation:

lets say the market price of a particular item is Rs. 100

cheating 2% at the time of buying means :

He bought 2% “extra” quantity. So, he had to pay Rs 100 for 100 gm but actually he got 102 gm for Rs 100.

CP of 102 gm = Rs 100

Cheating 2% by using false weight at the time of selling means:

He sold 2% “less” quantity. So, he sold saying that he was charging Rs 100 for 100 gm (at the market rate Rs 1 per gm) to his customer but gave only 98 gm.

SP of 98 gm = Rs 100 {Rate = (Rs 100/98 per gm)}

But he will sell all the quantity that he purchased i.e. 102 gm to calculate his profit.

SP of 102 gm = (100/98) x 102

SP of 102 gm = Rs 104.08

Profit % =

$\frac{SP-CP}{100}\times 100\\ = \frac{104.08-100}{100}\times 100$

profit % = 4.08 %

hence ,

his percentage gain is 4.08 %

#Learn more:

A dishonest shopkeeper buys an article for 5% less than its value and sells it for 5% more than its value his gain percentage is?

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