\fdO'^ - Old Forge Coal Mines

42 ARITHMETIC.
Another method of solv- . 375)96 1.38000(256 3.68
ing is the following: 7 5
If 37 jr^ of a number is 2113
^ 1875
961.38, then .37^ times the 3388
number = 961.38 and the 22 5
number = 961.38 -^ .37^, ^?^^
2' 1125
which, as above = 2,563.68. ^550
^^^'
2250
3000
3000
(85) Here $1,125 is 30^ of some number; hence,
$1,125 = the percentage, 30^ = the rate, and the required
number is the base. Applying rule. Art. 192,
Base = percentage -^ rate = $1,125 -4- .30 = $3,750.
3 1
Since $3,750 is — of the property, one of the fourths is —
4 o
4
of $3,750 = $1,250, and or the entire
j property, is 4 X $1,250
= $5,000. Ans.
(86) Here $4,810 is the difference and 35^ the ratfe. By
Art. 198,
Base = difference -i- (1 — rate)
= $4,810 ^ (1 - .35) = $4,810 ^ .65 = $7,400. Ans.
.65)4810.00(7400
455
260 1.00
260 .35
00 .65
Solution can also be effected as follows: lOOj^ = the sum
diminished by 35^, then (1 — .35) = .65, which is $4,810.