Discussion
Raju started a business by investing Rs.36000. After 4 months Kalu joined him with some investment. At the end of the year, the total profit was divided between them in the ratio of 9:7. Find the capital that was invested by Kalu.
Answer: A
Kalu invested Rs 42000.
Profit is shared in proportion to capital multiplied by time. Raju's Rs 36000 was in for 12 months; Kalu joined after 4 months, so his capital \(x\) was in for 8 months.
\[ \begin{aligned} \frac{36000 \times 12}{8x} &= \frac{9}{7} \\ 72x &= 36000 \times 12 \times 7 \\ x &= 42000 \end{aligned} \]
Check: \(36000 \times 12 = 432000\) and \(42000 \times 8 = 336000\), in the ratio \(432 : 336 = 9 : 7\).
Rs 36000 is what you get by ignoring the time and taking equal capitals, which would give a 3 : 2 split. Rs 56000 would give \(432000 : 448000\), a larger share for Kalu, the reverse of 9 : 7.
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