Question

4. Anuj and Rajesh each lent the same sum of
money for 2 years at 8% simple interest and
compound interest respectively. Rajesh
received * 64 more than Anuj. Find the
money lent by each and interest received.​

Answer 1

Answer:

Step-by-step explanation:

Let lmt by ball =x Rs. /person

Interest earned by any =S.I=100P×R×I​

100x×8×2​=10016x​Rs

Interest earned by Rajesh =Amount−Principle

=x(1+100R​)T−x

=x(1+1008​)2−x

=x[(100108​)2−1]

=x(0.1664)

Difference of interest =0.1664x−0.16x

=0.0064x=64

⇒100064x​=64

⇒  Interest required by Anej =1600 Rs

⇒  Interest required by Rajesh =1664 Rs

Answer 2

Answer:

Now it is given that Rajesh lent the sum of money for 2 years at 8% compound interest. A=p(1+r100)t where P is the principal value, R is the rate of interest and t tis the time period. Therefore, the principal value was Rs. 10000 which was lent by Anuj and Rajesh.