2. What is the interest of $327,47 for 9 months at

3. What is the interest on $8975 for ten months at 6 per cent per annum? Ans. $448,75. 4. What is the interest on $8753,65 for fourteen months Ans. $612,7555.

at 6 per cent per annum?

5. What is the interest on $37596,42 for sixteen months at 6 per cent per annum? Ans. $3007,7136. 6. What is the interest on $3976,85 for nine months at 6 per cent per annum ? Ans. $178,9582.

Q. How do you find the interest at per cent for any number of months? What per cent will two months give? Four months? Five months? Six months? Seven months? Eight months? Nine months? Eleven months? Twelve months?

CASE III.

155. To find the interest at 6 per cent per annum, for any number of days.

In computing interest the month is reckoned at 30 days. Hence, 60 days, which make two months, will give an interest of one per cent on the principal. This one per cent is found by simply removing the separating point two places to the left. If this one per cent be then divided by 60 the quotient will be the interest for 1 day, and this quotient multiplied by the number of days will give the interest required. To divide by 60 we remove the separating point one place farther to the left, and then divide by 6. Hence, we have the following

RULE.

I. Remove the separating point in the principal three places to the left, then divide by 6 and the quotient will be the interest for 1 day.

II. Multiply the interest by the number of days, and the product will be the answer sought.

EXAMPLES.

1. What is the interest on $327,30 for 25 days?

2. What is the interest on $27,25 for 19 days

3. What is the interest on $575,72 for 29 days?

Ans. $2,78+.

4. What is the interest on $195,19 for 7 days?

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Ans. $0,22+.

5. What is the interest on $897,04 for 27 days?

Ans. $4,0366+.

6. What is the interest on $378,53 for 18 days?

Ans. $1,135+.

7. What is the interest on $885,62 for 25 days?

Ans. 3,69+.

8. What is the interest on $3756,25 for 17 days?

Ans. $10,642+.

Q. In computing interest, how many days are reckoned to the month? How much will 60 days produce? How do you find the 1 per cent? If you then divide by 60, what is the quotient? Give the rule for computing the interest for days? When there are not three figures in the principal on the left of the decimal point, what do you do?

CASE IV.

§ 156. To find the interest at 6 per cent per annum for years, months, and days.

RULE.

Find the interest for the years by Case I, for the months by Case II, and for the days by Case III, then add the several results together and their sum will be the answer sought.

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EXAMPLES.

1. What is the interest on $1597,27 at 6 per cent for years 9 months and 11 days?

2. What is the interest of $11759,10 at 6 per cent for 9 years 11 months and 16 days? Ans. $7028,02+. 3. What is the interest on $9787 for 12 years and 1 day? Ans. $7048,27+. 4. What is the interest of $87601,29 for 1 year 1 month and 1 day? Ans. $5708,68+. for 1 year and 10 Ans. $88,75+. for 4 years and Ans. $123,95+. 7 years 2 months Ans. $191,59+. $649,22 after 10

5. What is the interest of $806,90 months at 6 per cent per annum?

6. What is the interest of $450,75 7 months at 6 per cent per annum ? 7. What is the interest of $443,50 for and 12 days at 6 per cent per annum?

8. What will be the total amount of years and 10 months at an interest of 6 per cent?

Ans. $1071,21+

Q. How do you find the interest for years months and days?

CASE V.

157. When there are months and days, and the rate of interest is greater or less than 6 per cent.

RULE.

Then add to it or sub-·

Find the interest at 6 per cent. tract from it such a part of the interest so found as the given rate exceeds or falls short of six per cent per annum.

EXAMPLES.

1. What is the interest of $119,50 at 7 per cent per annum for 3 years and 4 months?

Total interest at 4 per cent $92,5775+

3. What is the interest of $987,99, at 5 per cent, for

5 years 2 months and 9 days?

Ans. $256,46+.. 4. What is the interest on $437,21, at 3 per cent, for

9 years and 9 months?

Ans. $127,88+..

5. What is the interest of $15000 for 8 months at 7 per cent per annum? Ans. $700. 6. What is the interest of $400 for 21 days at 5 per cent per annum? Ans. $1,16+. 7. What is the interest of $876,48, at 7 per cent, for 4 years 9 months and 14 days? Ans. $293,815+. 8. What will be the total amount of $1119,48, after 2 years and a half, at an interest of 7 per cent per annum? Ans. $1315,389+.

9. What is the interest on $532,41 for 3 years and 3 months at 4 per cent per annum? Ans. $77,86+. 10. What is the interest on $8375,27, at 5 per cent per annum, for 5 years 5 months and 5 days? Ans. $2274,118+. 11. What is the interest of $8759,27, at 6 per cent per annum, for 1 year 6 months and 9 days? Ans. $801,473+. 12. What is the interest, at 6 per cent per annum, on $7569,11, for 3 years 4 months and 18 days?

Ans. $1664,573+.

Q. When the rate of interest is greater or less than 6 per cent, how do you find the interest for months and days?

$158. NOTE. In computing interest, it is often very convenient to find the interest for the months by considering them as aliquot parts of a year, and the interest for the days by considering them as aliquot parts of a month.

EXAMPLES.

1. What is the interest of $806,90 for one year 10 months and 10 days at 6 per cent?