Question

On what sum of money will the interest at 5%
p.a. for 4 years be the same as that on 2500 at 3% p.a. for 6 years ?

Answer 1

Given :

Rate of interest (1) : 5%

Time (1) : 4 years

Principle (2) : ₹2500

Rate of interest (2) : 3%

Time (2) : 6 years

To find :

The principle of the first statement.

Solution :

First, we should find the simple interest of first statement by the second one.

Simple interest (2) :

$\sf \dashrightarrow SI = \dfrac{P \times R \times T}{100}$

$\sf \dashrightarrow \dfrac{2500 \times 3 \times 6}{100}$

$\sf \dashrightarrow \dfrac{2500 \times 18}{100}$

$\sf \dashrightarrow \dfrac{2500 \times 9}{50}$

$\sf \dashrightarrow \dfrac{500 \times 9}{10}$

$\sf \dashrightarrow \cancel \dfrac{4500}{10} = 450$

Now, we can find the principle of the first statement.

$\sf \dashrightarrow SI = \dfrac{P \times R \times T}{100}$

$\sf \dashrightarrow 450 = \dfrac{P \times 5 \times 4}{100}$

$\sf \dashrightarrow 450 = \dfrac{P \times 20}{100}$

$\sf \dashrightarrow 450 = \dfrac{P \times 1}{5}$

$\sf \dashrightarrow P = \dfrac{450 \times 5}{1}$

$\sf \dashrightarrow P = 2250$

Hence, the principle of the first statement is ₹2250.

Answer 2

Answer:

2250 rs

Step-by-step explanation:

LET SUM OF MONEY = P

SIMPLE INTEREST ON 1=2

P* R* T =. 2500*r*t

100. 100

p*5*4. = 2500*3*6

p = 2500*3*6

5*4

p = 2250rs.