Question

Vani deposited Rs 10000 in a savings bank
account. The bank paid simple interest at the rate of
11% pa. How much interest did her money earn in 9
months​

Answer 1

Answer :-

• Vani's money earned an interest of Rs 825 in 9 months.

Given :-

• Vani deposited Rs 10000 in a savings bank account.
• The bank paid simple interest at the rate of 11% p.a.

To find :-

• The interest her money earned in 9 months.

Step-by-step explanation :-

• Here, the principal is Rs 10000, the rate is 11% p.a and the time is 9 months.

We know that :-

$\underline{ \boxed{ \sf SI = \dfrac{Principal \times Rate \times Time}{100}}}$

Here,

• Principal = Rs 10000.
• Rate = 11% p.a.
• Time = 9 months or 9/12 years.

--------------------

Hence,

$\longmapsto\tt SI = \dfrac{10000 \times 11 \times 9}{100 \times 12}$

Cutting off the zeroes,

$\longmapsto\tt SI = \dfrac{100 \times 11 \times 9}{1 \times 12}$

Reducing the numbers,

$\longmapsto\tt SI = \dfrac{25 \times 11 \times 3}{1 \times 1}$

Now let's multiply the remaining numbers, since we can't reduce them anymore.

$\longmapsto\tt SI = \dfrac{25 \times 11 \times 3}{1}$

Multiplying the numbers,

$\longmapsto\tt SI = \dfrac{825}{1}$

Removing the denominator of the fraction since it's 1,

$\longmapsto\overline{ \boxed{\tt SI = Rs \: 825}}$

--------------------

• Hence, an interest of Rs 825 is earned after 9 months.