A stockist wants to make some profit by selling sugar. He contemplates about various methods. Which of the following would maximize his profit ?

Solution(By Examveda Team)

We find the net profit in each case :
1 → In this case, profit = 10%
$$\eqalign{ & 2 \to {\text{Profit}} = \left( {\frac{{100}}{{900}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\frac{1}{9}\% \cr} $$
3 → Let C.P. of sugar be Rs. 1 per kg

Then, he mixes 100 gm impurities and realizes the C.P. of 1.1 kg sugar by selling 1 kg of sugar.
S.P. of sugar = Rs. 1.10 per kg.
$$\eqalign{ & \therefore {\text{Profit}} = \left( {\frac{{0.1}}{1} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
4 → Let C.P. of sugar be Rs. 1 per kg.
Since he weighs 950 gm instead of a kg, his actual
C.P. = Rs. 0.95
S.P. = 105% of Rs. 1 = Rs. 1.05
$$\eqalign{ & \therefore {\text{Profit}} = \left( {\frac{{0.10}}{{0.95}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\frac{{10}}{{19}}\% \cr} $$
Clearly, the maximum profit is earned when he used a 900 gm weight for a kg.