Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A charity organization has a fund of Rs.2,00000 to provide annual grants to students. The grant amount each year is Rs.15,000. The fund earns an interest rate of r% per annum. if the interest earned is used entirely to provide the grants, then the annual interest rate r is:

Options:

8%

7.5%

5.7%

9.2%

Correct Answer:

7.5%

Explanation:

The correct answer is Option (2) → 7.5% **

$\text{Total fund}=200000$

$\text{Annual grant}=15000$

$\text{Interest earned per year must equal the grant:}$

$\frac{r}{100}\times 200000=15000$

$2000r=15000$

$r=\frac{15000}{2000}$

$r=\frac{15}{2}$

$r=7.5\%$