a dishonest shopkeeper does 2% dishonesty at the time of buying and 2% dishonesty at the time of selling find his percentage gain
Answers
Answer:
his percentage gain is 0.48%
Answer:
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 % =
\begin{gathered}\frac{SP-CP}{100}\times 100\\ = \frac{104.08-100}{100}\times 100\\\end{gathered}
100
SP−CP
×100
=
100
104.08−100
×100
profit % = 4.08 %
hence ,
his percentage gain is 4.08 %