Question

25. What is the rate of interest (in%) if simple
interest earned on a certain sum for the 3rd
year is Rs.2,000 and compound interest
earned in 2 years is Rs.4160?
al 8 (b) 10 (c) 12 (d) 6​

Answer 1

Answer:

The rate of interest will be 8% with 25000 as a principle.

As in case of simple interest remains same for all the years, so

P×R×T/100=I

P×R×1/100=2000

=)PR=200000 …………..(1)

For compound interest for 2 years

P(1+R/100)^T —P=I

P(1+R/100)^2-P=4160

P(1+R^2/10000+2R/100–1) =4160

PRR/10000+2PR/100=4160

20R+4000=4160

20R=160=)R=8%

Step-by-step explanation:

The rate of interest will be 8% with 25000 as a principle.

As in case of simple interest remains same for all the years, so

P×R×T/100=I

P×R×1/100=2000

=)PR=200000 …………..(1)

For compound interest for 2 years

P(1+R/100)^T —P=I

P(1+R/100)^2-P=4160

P(1+R^2/10000+2R/100–1) =4160

PRR/10000+2PR/100=4160

20R+4000=4160

20R=160=)R=8%