Discussion
A man buys a field of agricultural land. He sells one-third of the land at a loss of 20% and two-fifth of the land at a profit of 25%. At how much percent profit must he sell the remaining land so as to make an overall profit of 10% ?
Answer: A
He must sell the remaining land at 25% profit.
Let the whole field cost 1 (one unit). One-third and two-fifths are sold, so the rest is \(1 - \frac{1}{3} - \frac{2}{5} = \frac{4}{15}\). For a 10% overall profit, total sales must be 1.1:
\[ \begin{aligned} \tfrac{1}{3}(0.8) + \tfrac{2}{5}(1.25) &= \tfrac{4}{15} + \tfrac{1}{2} \\ &= \tfrac{23}{30} \\ \text{rest} &= 1.1 - \tfrac{23}{30} = \tfrac{1}{3} \\ \tfrac{1}{3} \div \tfrac{4}{15} &= 1.25 \end{aligned} \]
So the remaining land must fetch 1.25 times its cost, a profit of 25%. The lower options would leave the overall profit below 10%.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development