Quantitative Aptitude Ques 1740
Question: Arun lends Rs. 20000 to two of his friends. He gives Rs. 12000 to the first at 8% per annum simple interest. Arun wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend, is
Options:
A) 8%
B) 16%
C) 12%
D) 13%
Show Answer
Answer:
Correct Answer: D
Solution:
- Total money = 20000 SI on Rs. 12000 $ \frac{P\times R\times T}{100}=\frac{12000\times 8\times 1}{100}=Rs.,960 $ Desired gain on $ Rs\text{. 20000}=20000\times \frac{10}{100}=Rs\text{. 2000} $
$ \therefore $ SI on $ Rs\text{. 8000}=2000-960=Rs\text{. 1040} $
$ \therefore $ $ Rate=\frac{SI\times 100}{Principal\times Time}=\frac{1040\times 100}{8000\times 1} $ = 13% per annum