THE NEW STUDENT'S REFERENCE WORK 2203
5 mo. is -fg of 1 yr. but it is better to separate 5 mo. into 4 mo. and 1 mo.
4 mo. = ^ of 1 yr., in this example ^/- = $25.
1 mo. = | of 4 mo., in this example ^ = $6.25 10 da. = i of 1 mo., in this example *&#& = $2.083 Sum of $225, $25, $6.25, $2.083 = $258.333 = desired interest. In like manner, separate 7 mo. into 6 and 1; 8 mo. = 6, 1 and 1;
9 mo. = 4, 4, and 1; 10 mo. == 6, 3 and 1; 11 mo. = 6, 4 and 1.
The desirability of having 1 mo. appear each time is to help in computing the interest for the days.
The easy fractional parts of a month will be 15 da. = |; 10 da. = -J; 6 da. = i; 5 da. = £; 3 da. = TV; thus 21 da. == 15 and 6; 23 da. = 10,
10 and 3; 25 da. = 15 and 10; 29 da. = 10, 10, 6 and 3, etc.
EXERCISE 40. Find the interest on
1. $1250 for 2 yr. 5 mo. 10 da. at 5%.
2. $1620 for 3 yr. 7 mo. 15 da. at 4|%.
3. $675.50 from Jan. 1, 1910, to Aug. 16, 1915, at 5%.
4. $2250 from Mar. 15, 1911, to Oct. 25, 1916, at 6%.
5. $950.75 from June 7, 1912, to Dec. 30, 1915, at 4%.
6. $1750 from Aug. 12, 1911, to Jan. 15, 1916, at 5|%.
7. $1500 from Sept. 15, 1912, to Dec. 20, 1915, at 6%.
8. $1265 from July 1, 1912, to Mar. 5, 1916, at 4%.
9. $1630 from Feb. 4, 1911, to Oct. 24, 1915, at 5%.
10. $540.50 from June 8, 1912, to Sept. 14, 1914, at 4|%.
11. $620.75 from Nov. 17, 1910, to April 27, 1913, at 61%.
12. $1250.50 from Nov. 20, 1912, to May 14, 1916, at 5%.
RATIO AND PROPORTION.
Ratio is the relation of one number to another of the same kind, expressed by the quotient.
It is another form of division.
The ratio of 4 to 5 is expressed, 4:5.
The ratio sign is the colon (:), and is read is to.
The first number in the ratio is called the antecedent.
The second number in the ratio is called the consequent.
The antecedent and consequent are called the terms of the ratio.
The ratio of two numbers may be expressed in the three following ways: 3—6, ^ or 3:6.
The value of each is f.
