 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that find the two present words and the two describe 75 dollars during 11 months time allowing interest that 7.5% per annum. Let us proceed with the solution. Let the present word P be equal to 100 dollars. The value of I is given as 7.5% per annum which is equal to 15 by 200. And the value of N that is the number of years is given as 11 months which is equal to 11 by 12 years. Therefore, interest on 100 dollars for 11 months at 7.5% per annum is equal to P into N into I that is 100 into 11 by 12 into 15 by 200 dollars which is equal to 55 by 8 dollars. Therefore, in 11 months time 100 dollars amounts to 100 plus 55 by 8 dollars. As we know the value of amount is equal to principal plus interest. Therefore, it is equal to 855 by 8 dollars. Now, the present word of 855 by 8 dollars is 100 dollars. Therefore, the present word of 75 dollars will be equal to 100 into 8 into 75 upon 855 dollars which is equal to 8 into 5 that is 4000 by 57 dollars that is equal to 70.18 dollars. The present word is given by 70.18 dollars. This completes our present hope you enjoyed this lesson.