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CHAPTER VI-MIXED PROBLEMS.
59. The monthly interest on 60 is exactly 5. The capital lent out is 35; the (amount of the) instalment (to be paid) is 15 in (every 3 months. What is the time (of discharge) of that (debt)?
The rule for separating various capital amounts, on which the same interest has accrued, from their mixed sum:
60. Let the (given) mixed sum multiplied by the time (given) in relation to it be divided by the sum of that quantity, wherein are combined the various rate-capitals as multiplied by their respective rate times and as divided by their respective rate-interests. The interest (is thus arrived at); and (from this) the capital amounts ara arrived at as before.
Examples in illustration thereof.
61. The mixed sum (of the capital amounts lent out) at the rates of 2, 6 and 4 per cent per mensem is 4,400. Ilero the capital amounts are such as have equal amounts of interest accruing after 2 months. What (are the capital amounts lent. and what is the equal interest)?
62. An amount represented (on the whole) by 1,900 was leut out at the rates of 3 per cent, 5 per 70, and 34 per 60 (per mensem); the interest (accrue) in 3 months (on the various lent parts of this capital amount) is the same (in each case). (What are these amounts lent out and what is the interest?)
The rule for arriving at the lent ont capital in relation to the known time of discharge by instalments:
63. Let the amount of the instalinent s divided by the time thereof and as multiplied by the time of discharge be divided by
112 t CTG x T I J. are found out by the rule in Ch. VI. 10,
t
60. Symbolically.
63. Symbolically.
+
1 +
105
+ &c.
P
1 x tx 1
Tx C
p the time of an instalment, and the time of discharge.
, where a
from this, the capitals
amount of instalment.
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