Discussion
Manoj borrowed Rs. 3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent the whole of it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs. 824.85 by way of interest from the whole transaction, what is the sum he lent to Ramu?
Answer: B
\[ \text{SI} = \frac{P \times R \times T}{100} \]
What Manoj pays Anwar on the borrowed Rs. 3450 at 6% for 3 years:
\[ \frac{3450 \times 6 \times 3}{100} = \text{Rs. } 621 \]
What he receives from Ramu on the whole sum \( S \) at 9% for 3 years:
\[ \frac{S \times 9 \times 3}{100} = 0.27S \]
His gain is the difference:
\[ 0.27S - 621 = 824.85 \quad\Longrightarrow\quad 0.27S = 1445.85 \]
\[ S = \text{Rs. } 5355 \]
So he added \( 5355 - 3450 = \text{Rs. } 1905 \) of his own money.
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