A dealer who professes to sell his goods at cost price uses a $900$ gm weight for a kg. His gain percentage is
a. $9$
b. $10$
c. $11$
d. $11.11$
Correct answer is $11.11\%$ but how the dealer is gaining. According to me answer must be that he is losing $10\%$ since he is losing $100$gm weights while selling his good. Please if anyone can help me with this question
The dealer is not "losing" $100$g in each sale. Rather the dealer is getting the cost of $1$kg $= 1000$g of goods but delivering only $900$g because of the improper weight used.
The percentage gain $11.11$% comes from the denominator (money per weight) being smaller than it should be. A $90$% smaller denominator gives a $10/9$ multiple of the ratio (money per weight).
Since $10/9 \approx 111.11$%, that answer is closest to the true value.