Question

Q9.In what time period will Rs. 10,000 earn an interest of Rs. 2,000 at 10 %
p.a.?
a) 2 years b) 5 years c) 6 years d) 3 years e) 7 years
​

Answer 1

Answer:

a) 2 years

Step-by-step explanation:

Simple Interest (SI) = Rs.2,000

Principal (P) = Rs.10,000

Rate (R) = 10% p.a.

Let the Time be T.

SI = PRT/100

=> 2000 = 10000 × 10 × T/100

=> T = 2 years

Answer 2

In 2 years Rs. 10,000 will earn an interest of Rs. 2,000 at 10% p.a.

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

Let's understand a few concepts:

To calculate the simple interest we will use the following formula:

$\boxed{\bold{Simple \:Interest = \frac{Principal \times Rate \times Time }{100} }}$

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

Let's now solve the given problem:

The sum of money i.e., (P) = Rs. 10,000

The simple interest = Rs. 2000

The rate of interest i.e., (R) = 10%

By using the above formulas of simple interest, we can form an equation as,

$2000 = \frac{10000 \times 10 \times Time}{100}$

$\implies 2000 = 100 \times 10 \times Time$

$\implies 2000 = 1000 \times Time$

$\implies Time = \frac{2000}{1000}$

$\implies \bold{Time = 2\:years}$ ← option (a)

Thus, the time period is option (a): 2 years.

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

Learn more about the above topic from brainly.in:

brainly.in/question/49095168

brainly.in/question/11211599