1.

500 रुपयांवरील द.सा.द.शे. 10 टक्के चक्रवाढ व्याज दराने 2 वर्षाची रास व 3 वर्षाची रास यातील फरक किती​

Answer»

Given:

500 रुपयांवरील द.सा.द.शे. 10 टक्के चक्रवाढ व्याज दराने 2 वर्षाची रास व 3 वर्षाची रास यातील फरक किती

To find:

फरक किती

Solution:

The sum of money, P = Rs. 500

The rate of interest, R = 10% p.a.

Compound Interest for 2 years:

The no. of years, N = 2 years

A = P [1 + \frac{R}{100} ]^n

\implies A = 500 [1 + \frac{10}{100} ]^2

\implies A = 500 \times  [\frac{110}{100} ]^2

\implies A = 500 \times  [1.1]^2

\implies A = 605  

and

C.I. = A - P = 605 - 500 = <klux>105</klux>

 

Compound Interest for 3 years:

The no. of years, n = 3 years

A = P [1 + \frac{R}{100} ]^n

\implies A = 500 [1 + \frac{10}{100} ]^3

\implies A = 500 \times  [\frac{110}{100} ]^3

\implies A = 500 \times  [1.1]^3

\implies A = 665.50  

and

C.I. = A - P = 665.50 - 500 = 165.50

Now,  

The required difference is,

= C.I.₃ - C.I.₂  

= Rs. 165.50 - Rs. 105

= Rs. 60.50

 

Thus, the difference between the compound interest for 2 years and 3 years at the rate of 10% on Rs.500 is → Rs. 60.50.

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