Question

A sum of money lent at simple interest amounts Rs. 880. in 2 years and to Rs. the 920 in 3 years. the sum of money​

Answer 1

Amount = Principal + Interest

Let Principal be P and Interest I

880=P+2I---------(1)

920=P+3I---------(2)

solving eq 1 and 2

we get I =40.,put 'I' value in equation (1)

we get P =800

Answer 2

The sum of money is Rs.800

Step-by-step explanation:

Let the principal be x

Formula : $SI = \frac{P \times R \times T}{100}$

Where P is principal

T is time

R = rate of interest

A sum of money lent at simple interest amounts Rs. 880. in 2 years

SO , P =x , R = R , T = 2 , Amount = 880

Simple interest = Amount - Principal = 880-x

Substitute the values in the formula :

$880-x = \frac{x \times R \times 2}{100}$

$\frac{(880-x) \times 100}{2 \times x}=R$ --1

A sum of money lent at simple interest amounts to Rs. the 920 in 3 years.

SO , P =x , R = R , T = 3 , Amount = 920

Simple interest = Amount - Principal = 920-x

Substitute the values in the formula :

$920-x = \frac{x \times R \times 3}{100}$

$\frac{(920-x) \times 100}{3 \times x}=R$ --2

$\frac{(880-x) \times 100}{2 \times x}=\frac{(920-x) \times 100}{3 \times x}\\\frac{(880-x)}{2}=\frac{(920-x)}{3}\\2640-3x=1840-2x\\2640-1840=x\\800=x$

Hence The sum of money is Rs.800

#Learn more :

A sum of money lent at simple interest amounts to Rs 3224 in 2 years and Rs 4160 in 5 years. Find the sum and the rate of interest.

https://brainly.in/question/1025603