Question

A man buys a field of agricultural land for Rs. $360000$. He sells one third at a loss of $20\%$ and ${\left(\frac{2}{5}\right)}^{th}$ at a gain of $25\%$. At what price must he sell the remaining field so as to make an overall profit of $10\%$?

• A. Rs. $100000$
• B. Rs. $115000$
• C. Rs. $120000$
• D. Rs. $125000$

Answer 1

The correct option is C Rs. $120000$

S.P. of the whole field $=$ $\frac{360000\times 110}{100}=$ Rs. $396000$
S.P. of the ${\left(\frac{1}{3}\right)}^{rd}$ part of the field $=$ $\frac{360000}{3}\times \frac{80}{100}=$ Rs. $96000$
S.P. of the ${\left(\frac{2}{5}\right)}^{th}$ part of the field $=360000\times \frac{2}{5}\times \frac{125}{100}=$ Rs. $180000$
S.P. of the remaining field $=396000-(96000+180000)=$ Rs. $120000$.