117. A merchant in his first year of business increased his capital 40%, and increased his capital the second year 30%. He lost 331% of his capital the third year, and had $18,200 left. What was his capital at first?

118. A contractor engaged to build a railroad at $31,200 a mile. The work actually cost $90 per rod. What was his gain per cent?

119. A merchant sold goods at 25% discount and 4% off from the selling price for cash. What was the whole per cent discount?

120. At 11% commission an agent receives $97.29 for selling goods. Find the amount of the sale.

121. A merchant sent $30,750 to his agent in New Orleans, for the purchase of cotton. Find the sum spent for cotton, if the agent charges 21% commission for buying.

122. Find the sum paid for insurance, at %, on a house worth $8000, and at 2% on furniture worth $2000,

if the insurance is on of the value of the property insured.

123. A sea captain paid $345, at 14%, for insuring of the value of a ship. Find the value of the ship.

124. A town has to raise $192,000 for expenses. If 4% is allowed for collecting, how much money must be raised?

125. A merchant sends $24,600 to his agent at St. Louis, for the purchase of flour at $5 a barrel. How many barrels can be bought if the agent charges 21% commission for buying?

In

126. A paper-mill worth $30,000 was insured for an annual premium of 13% on 90% of its value. the second year it was injured by fire to the amount of $1780. How much did the mill owner save by insuring?

127. A city voted a tax of $74,500; the poll-tax was $1.25 on 2000 polls; the assessed value of city property was $6,000,000. What was the tax on $1000 ?

128. What insurance must be placed upon a store and its contents, valued at $20,085, that the entire value of the goods and store and of a premium of 21% may be recovered in case of loss by fire?

129. A premium of $88.14 is paid upon a cargo of wheat insured at 23% on of its value. Find the num

ber of bushels shipped, if the average price is 80 cts. a bushel.

130. A 30% duty of $5594.40 was paid on 252 watches. What was the invoice price of each watch?

131. Eleven and one-half yards of cloth 14 yds. wide are required for a dress. How many yards must be bought if the shrinkage in sponging is 10% in length and 8% in width?

132. If 30% of a merchant's sales is profit, what is his gain per cent?

133. A merchant insured a ship and cargo at 48%. If $158,650 cover both property and premium, what is the value of the ship and cargo?

134. How much money must be sent to purchase 10,000 bbls. of sugar, at $8.50 per barrel, if the commission for buying is 3%, and the sum prepaid for freight is $315?

INTEREST.

Find the interest of:

135. $1000 for 2 yrs. 7 mos. 18 dys., at 6%.
136. $1496 for 7 mos. 21 dys., at 6%.

137. $582 for 1 yr. 7 mos. 15 dys., at 6%.

138. $168 for 1 yr. 5 mos. 12 dys., at 23%.

139. $548 for 7 mos. 18 dys., at 61%.

140. $1272 from July 12, 1880, to Feb. 24, 1882, at 31%.

141. $1975.30 for 60 dys., at 6%.

142. $1675 for 90 dys., at 6%.

143. $976 for 3 yrs. 6 mos., at 1% a month.

Find the rate per cent:

144. When the interest on $3000 for 3 yrs. is $630.

145. When the interest on $1500 for 2 yrs. is $172.50.

146. When the interest on $1278.50 for 3 yrs. 6 mos. is
$178.99.

147. When a sum of money is doubled in 8 yrs.

148. When $1758 amount to $1869.34 in 8 mos.

Find the time:

149. When the interest on $278.40, at 74%, is $100.92.

150. When $600, at 31%, amount to $660.

151. When the interest on $78, at 11% a month, is
$28.08.

152. When the principal, at 5%, is doubled.

Find the principal that will:

153. Produce $424.94 interest in 3 yrs., at 51%.

154. Produce $285.60 interest, at 7%, in 1 yr. 8 mos. 12 dys.

155. Produce $81.37 interest, at 33 %, in 2 yrs. 9 mos. 18 dys.

What principal will amount to:

156. $88.80, at 6%, in 3 yrs. 4 mos.

157. $308.10, at 5%, in 6 mos.

158. $570.475, at 6%, in 3 yrs. 4 mos. 6 dys.

159. $661.32, at 4% a month, in 3 yrs. 6 mos.

160. Find the interest on $1825 from Jan. 1 to June 25, at 51%, counting the exact number of days, and allowing 365 dys. for a year.

BANK DISCOUNT.

Find the proceeds of the following notes:

161. $300.

SPRINGFIELD, Ill., Aug. 12. 1884.

Sixty days after date I promise to pay Nicholas Welsh,

or order, $300, value received.

Discounted at 6%, Sept. 1.

162. $700.

JOHN BRYCE.

BOSTON, Nov. 13, 1880.

Ninety days after date I promise to pay to the order of David Morrison seven hundred dollars, value received. Discounted at 7%, Jan. 1, 1881.

163. $217.40.

GEORGE BROWN.

NEW YORK, July 30, 1884.

40

Ninety days after date I promise to pay to the order of Seth Jay two hundred seventeen and dollars, value received.

Discounted at 6%, Aug. 10, 1884.

100

JAMES BENT.

164. $500.

CHICAGO, July 9, 1883.

Ninety days from date, for value received, I promise to pay to the order of John Hogan five hundred dollars, with interest at 9%.

Discount at 6%, July 9, 1883.

165. $5897.50.

JOHN FOSTER.

TROY, June 24, 1881.

Four months from date, for value received, I promise to pay to the order of Aaron Reed five thousand eight hundred ninety-seven and 50 dollars, with interest at 6%. Discounted at 5%, Aug. 15. JAMES CAREY.

Find the face of a note which:

166. Discounted at 6% for 90 dys. yields $344.57. 167. Discounted at 9% for 46 dys. yields $493.87. 168. Discounted for 6% for 3 mos. yields $984.50.

PARTIAL PAYMENTS.

169. A note for $680, dated June 15, 1884, payable on demand, with interest at 6%, bears the following

endorsement: May 15, 1885, $425. What is due June 15, 1885?

170. On a note of $1400, dated March 1, 1880, there was received Oct. 19, 1880, $700; Jan. 1, 1881, $400.

What is due March 1, 1881, reckoning interest at 6%?

171. A note of $900, dated Jan. 1, 1884, and bearing interest at 5%, has the following endorsements: May 13, $240; Aug. 19, $300; Oct. 25, $180. Required the balance due Jan. 1, 1885.