Question

Hey guys, I completed 500 answers in maths.

What sum of money lent out at 2.5 % per annum for 3 years would produce Rs 37.50 as interest?
{Give the answer of this question only otherwise i will rport}​

Answer 1

Answer:

Given rate of interest = 2.5% p.a.

Given time period = 3 years

Given simple interest = Rs. 37.50

principal amount = ?

We know that simple interest is equal to \frac{P * R *T}{100}100P∗R∗T . So, by substituting the values, we will get the principal amount.

⇒ Simple interest = \frac{P*R*T}{100}100P∗R∗T

⇒ Rs. 37.50 = \frac{P*2.5*3}{100}100P∗2.5∗3

⇒ Rs. 37.50 = \frac{P*7.5}{100}100P∗7.5

⇒ Rs. 37.50 * 100 = P * 7.5

⇒ Rs. 3750 = P * 7.5

⇒ \frac{Rs.3750}{7.5}7.5Rs.3750 = P

⇒ Rs. 500 = P

Hence, the principal amount is of Rs. 500.

Answer 2

$\bf \: Simple \: interest = \frac{P \times R \times T}{100}$

$\bf⇒ Rs. 37.50 = \frac{P \times 2.5 \times 3}{100}$

$\bf⇒ Rs. 37.50 = \frac{P \times 7.5}{100}$

⇒ Rs. 37.50 × 100 = P × 7.5

⇒ Rs. 3750 = P × 7.5

$\bf⇒ \frac{Rs.3750}{7.5}$

⇒ Rs. 500 = P

Hence, the principal amount is of Rs. 500.