Question

The simple interest in 3 year and the compound interest in 2year on acertain sum at the same rate are 1200 and 832 respectively find the rate of interest,principle ,difference between s.i and c.i in 3year

Answer 1

Answer:

Compound interest for 2 years=Rs.832

Simple interest for 3 years=Rs.1200

As simple interest for each year remains the same.

So, simple interest for 2 years=1200×

3

2

=Rs.800

We know that,

CI

2 year

−SI

2 year

=

200

SI

2 year

×R

=

(100)

2

PR

2

832−800=

200

800×R

32=4×R

R=8%

Again, CI

2 year

−SI

2 year

=

(100)

2

PR

2

32=

100

2

P×(8)

2

32=

10000

P×64

P=

64

32

×10000=5000

Hence, the principal is Rs.5000.