Question

A trader sells rice at a profit of $20$% and uses weights which are $10$% less than the correct weight. The total gain earned by him is:

• A. $22\frac{2}{9}$%
• B. $35$%
• C. $33\frac{1}{3}$%
• D. $30$%

Answer 1

Answer: (C)

$33\frac{1}{3}$%

Let us consider a packet of rice maked $1\text{kg}.$ But its actual weight is $90\%$ of $1000\text{gm}=900\text{gm}.$

Let C.P of each gram of rice is $\text{Rs.}1.$ Then, C.P of this packet will be $\text{Rs.}900.$

S.P of this packet will be $120\%$ of C.P of $1\text{kg}.$ So,

$S.P=\frac{120}{100}\times 1000$

$=\text{Rs.}1200$

$\therefore$ Gain %$(\frac{300}{900}\times 100)=33\frac{1}{3}$%