Question

the difference between the compound interest and the simple interest on a cotton for 2 years 6% per annum is rupees 90 find the sum

Answer 1

Answer:

25000

Step-by-step explanation:

let the sum be P = Rs. 100.

time T = 2 years, rate of interest R = 6% per annum

simple interest =  PRT/100= 100*6*2/100=

Rs 12

compound amount= P( 1+R/ 100)^T

= 100*(1+6/100) ^2

= 112.36

therefore the compound interest = compound amount - principal

=112.36-100=12.36/-

the difference between the compound interest and simple interest = 12.36-12.00 = 0.36/-

if the difference between the CI and SI is Rs. 0.36 the principal = Rs. 100

if the difference between the CI and SI is Rs. 90 the principal = 100/0.36*90

= 25000

thus the sum is Rs. 25000.

hope this helps you.

Mark as brainlieast

Answer 2

$\huge\blue{Answer}$

P=25000

Step by step:-

Let sum = P

Interest rate = 6% per annum

Time = 2 years

Simple interest (SI) = $\frac{PRT}{100}$ [Where, P = Present value

R = Annual interest rate

T = Time in years]

∴ SI = $\frac{(P * 6 * 2)}{100}$--------(i)

Compound interest (CI) = P $(1 + \frac{R}{100} )$n - P [Where, P = Present value

R= Annual interest rate

n = Time in years

Now,

$CI - SI = (\frac{309P}{2500})- (\frac{3P}{25} )\\ 90 = \frac{309P}{2500} - (\frac{3P}{25} ) [Given, CI - SI = 90]\\90 = \frac{(309P -300P)}{2500} \\90 = \frac{9P}{2500} \\P = 90 *\frac{2500}{9} \\P = 10 * 2500\\P = 25000\\ Sum = Rs.25000$