Question

the difference between the compound interest compounded annually and the simple interest on a certain sum for 2 years at 15% per annum 11 is 180 find the sum

Answer 1

difference= ₹180
time=2yrs
rate=15%p.a

A/q
$p((1 + r \div 100) ^{n} - 1) - p \times r \times t \div 100 = 180$
p{(1+15/100)^2 -1} - p×15×3/100=180
p{(23/20)^2-1} - 3p/10 = 180
p{529/400-1} - 3p/10 = 180
p{129/400} - 3p/10 = 180
129p/400 - 3p/10 = 180
9p/400=180
p=180×400/9
p= 8000