Question

7. A sum of money is invested at 10% per annum
compounded half-yearly. If the difference of
amounts at the end of 6 months and 12 months
is 189, find the sum of money invested​

Answer 1

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.