Question

On what sum of money does the difference between the simple intrest and compound interest for 2 years at 5%per annum be equal to ₹50.​

Answer 1

Step-by-step explanation:

For ,

N=2years

R=5 % .

$we \: have \: si \ \: = \frac{pnr}{100} = \frac{p \times 2 \times 5}{100} \\ \frac{10p}{100} = 0.1$

And on interest being compounded for 2 years and R=5 %, Amount=

$p(1 + \frac{r}{100} ) {}^{n} = p(1 + \frac{5}{100} ) {}^{2}$

=P×(1.05² )=1.1025P

So, C.I. =A−P=1.1025P−P =0.1025P

Given, C.I.−S.I=Rs50

=> 0.1025P−0.1P=Rs50

=> 0.0025P=Rs50

=> P=Rs20,000