Question

O n a certain sum of money the difference between the compound interest for a year payable half yearly and the simple interest for a year is rupees 180 find the sum lent out if the rate of interest in both the cases is 10% per annum

Answer 1

CI for 2 term of half yearly= 5×2+ 5^2/100 = 10+0.25= 10.25
and si= 10 ℅
so difference between ci and si= 10.25-10= 0.25%
from question.....
0.25%= 180
1%= 180×100/25= 720
so 100%= sum= rs. 72000