Question

a sum of money is invested at 10% per annum compounded half yearly if the difference of amount at the end of 6 months and 12 months is rupees 189 find the sum of money invested

Answer 1

10.25-5= 5.25%
5.25= 189
100=?
so sum invest=189*100/5.25=3600

Answer 2

Answer: 3600 rs.

Step-by-step explanation:

let the sum is 100x

so in 6 months with rate 10% half yearly

interest is = 5% of 100x

= 5x

amount become in 6 months = 105 x

so sum become in 12 months is = 1st half year + 2nd half year

= (100x+5x+5.25x)

= 110.25 x

difference = 110.25x - 105x

= 5.25 x

given that

5.25 x = 189

x = 36

so sum is = 100 x = 36 * 100 = 3600 rs.