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9781130362817: An advanced arithmetic, theoretical and practical

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Sinopsis

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: ... 40, Ans. But since 46 is 15% or fa more than the Or, required number or base, I have 1-)--?g = Jj 115% of base, or $$ of base, = 46. 46-=-jj = 40, Ans. Therefore, I divide the amount, 46, by 1-f-the rate, 1.15 or §#, and obtain the base, 40, Ans. Formula.--Base = Amount-f (1 + Rate) (f). Rule.--Divide the amount by 1-)-the rate. (2) What number diminished by 25% of itself is equal to 45? Explanation.--If the required number or-Operation. base were equal to 45, I should have 1--.25 =.75 100%, or i of the base, = 45. 45-.75 = 60, Ans. But since 45 is 25% or less than the base Or, I have i--4 = i 76 % or J of the base =45. 45-r-J = 60, Ans, Therefore, I divide the difference, 45, by 1--the rate,.75 or f, and obtain the base, 60, Ans. Formula.--Base = Difference-4-(1--Rate) (g). Rule.--Divide the difference by 1 minus the rate. EXERCISE LXVII. What number: 3. Increased by 25% of itself is equal to 90? 4. Increased by 2-J% of itself is equal to 767.5? 5. Diminished by 20% of itself is equal to 48? 6. Diminished by 71f% of itself is equal to.17? 7. I sold a cow for $44 and thereby made 10%; what did the cow cost me? 8. A man sold a town lot for $378 at a profit of 5%; what did the lot cost him? 9. After 12£% of the syrup in a barrel had leaked out, there were 85 gallons left; how many gallons were in the barrel at first? 10. A merchant sold a lot of goods at a loss of 4£% and received $551.99 for them; what did the goods cost? II. The sale is $160, the loss 16f%; find the cost. 12. The sale is $250, the loss 10J%; find the cost. 13. The sale is $1, the gain 33£%; find the cost. 14. The sale is $137.50, the gain 52£%; find the cost. 15. A boy received $18 per month after his wages had been raised 20%; what were his wages at first? 16. A m...

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Reseña del editor

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: ... 40, Ans. But since 46 is 15% or fa more than the Or, required number or base, I have 1-)--?g = Jj 115% of base, or $$ of base, = 46. 46-=-jj = 40, Ans. Therefore, I divide the amount, 46, by 1-f-the rate, 1.15 or §#, and obtain the base, 40, Ans. Formula.--Base = Amount-f (1 + Rate) (f). Rule.--Divide the amount by 1-)-the rate. (2) What number diminished by 25% of itself is equal to 45? Explanation.--If the required number or-Operation. base were equal to 45, I should have 1--.25 =.75 100%, or i of the base, = 45. 45-.75 = 60, Ans. But since 45 is 25% or less than the base Or, I have i--4 = i 76 % or J of the base =45. 45-r-J = 60, Ans, Therefore, I divide the difference, 45, by 1--the rate,.75 or f, and obtain the base, 60, Ans. Formula.--Base = Difference-4-(1--Rate) (g). Rule.--Divide the difference by 1 minus the rate. EXERCISE LXVII. What number: 3. Increased by 25% of itself is equal to 90? 4. Increased by 2-J% of itself is equal to 767.5? 5. Diminished by 20% of itself is equal to 48? 6. Diminished by 71f% of itself is equal to.17? 7. I sold a cow for $44 and thereby made 10%; what did the cow cost me? 8. A man sold a town lot for $378 at a profit of 5%; what did the lot cost him? 9. After 12£% of the syrup in a barrel had leaked out, there were 85 gallons left; how many gallons were in the barrel at first? 10. A merchant sold a lot of goods at a loss of 4£% and received $551.99 for them; what did the goods cost? II. The sale is $160, the loss 16f%; find the cost. 12. The sale is $250, the loss 10J%; find the cost. 13. The sale is $1, the gain 33£%; find the cost. 14. The sale is $137.50, the gain 52£%; find the cost. 15. A boy received $18 per month after his wages had been raised 20%; what were his wages at first? 16. A m...

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