Question

A merchant buys $200$ kg of rice at Rs. $1.25$ per kg, $400$ kg of wheat at $75$ paise per kg and $300$ kg of Jwar at $50$ paise per kg. He sells $100$ kg of rice at a loss of $25\%$. $100$ kg of wheat at a profit of $25\%$ and $100$ kg of Jawar at a profit of $30\%$. He then mixes the rest and sells $\frac{1}{3}$ of the mixture at $1$ rupee per kg. At what rate he should sell the remaining mixture so that he earn a profit of $25\%$ on the whole outlay?

• A. Rs. $1.00$
• B. Rs. $1.12$
• C. Rs. $1.06$
• D. Rs. $1.15$

Answer 1

Answer: (C)

Rs. $1.06$

Total CP of Rice $=200\times 1.25=$ Rs. $250$
Total CP of Wheat $=400\times 0.75=$ Rs. $300$
Total CP of Jawar $=300\times 0.5=$ Rs. $150$
Total cost $=250+300+150=$ Rs. $700$
CP $+25\%$ profit $=700+25\%$ of $700=$ Rs. $875$
He sells $100$ kg rice at $25\%$ loss.
SP of $100$ kg rice $=125-25\%$ of $125=125-\frac{25}{100}\times 125=93.75$.
SP of $100$ kg wheat$=75+25\%$ of $75=75+\frac{25}{100}\times 75=93.75$.
SP of $100$ kg Jawar $=50+30\%$ of $50=50+\frac{30}{100}\times 50=65$.
Now, he mixes, $100$ kg rice, $300$ kg wheat and $200$ kg jawar ,
Total mixture $=$ $100+300+200=600kg$
He sells $\frac{1}{3}$ mixture i.e. $200$ kg of mixture at price $1$ rupee per kg.
So, SP $=200$
Remaining Mixture $=400$ kg
Till now $SP=93.75+93.75+65+200=Rs.452.5$
Now, he needs, $875-452.5=Rs.422.5$ to get $25\%$ profit.
So, selling price of remaining mixture $=\frac{422.5}{400}=$ Rs. $1.06$.