Question

A certain sum of money lent out at 6 2/3% p.a. produces the same simple interest in 6 years as 3200 lent out at 8 2/5% p.a. for 7 years. Find the sum.

Answer 1

ANS.
TO KNOW THE SUM,
P:3200, R:8 2/5% =42/5, T=7
SI= PRT/100
=3200×42×7/100×5
=9408/5 =Rs.1881.6
In second case, P=?
P=SI× 100/R×T
=18816×100×3/10×20×6
=Rs.4704.
Ans. Rs.4704 is the sum.

Answer 2

Let the sum be P

P * 20 * 6 / 300     =   3200 * 42 * 7 / 500
                             =   1881.6
             P              = 1881.6 * 300 / 120
                             =  4704
Hence, the sum is 4704

HOPE THIS WILL HELP YOU DEAR.