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CHAPTER VI-MIXED PROBLEMS.
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by means of one, to which the interest tbcreon for the (given) time is added, (happens to be the required) capital; and the interest required is the combined sum minus this oapital.
An example in illustration thereof. 22. If one lends out money at the rate of 5 por cont (per month), the coinbined sum of interest and capital becomes 48 in 12 months. What are the capital and the interest therein
Again another rule for the separation of the capital and the interest from their combined sum :
23. The product of the given time and the rato-intorost, divided by the rate-time and the rate-capital and then combined with one, is the divisor of the combined sum of the capital and interest; the resulting quotient has to be uuderstood as the (required) capital.
An example in illustration thercofa 24. Having given out on interest some money at tho rate of 24 per cent (per monsem), ono obtains 33 in 4 months 18 the combined sum (of the capital and the interest). What may be the capital (therein)?
The rule for the separation of the time and the interest from their combined sum :
25. Take the rate-capital multiplied by the rato-time and divided by the rate-interest and by the given capital, and then combine this (resulting quantity) with one : then the quotient obtained by dividing the combined sum of the time and interest) hy this (resulting sum) indeed become the (required) interest..
Examples in illustration thereof. 26. Money amounting to 60 exactly was lent out at the rate of 5 per cent (per month) by one desirous of obtaining interest.
23. Hynibolically c=m +1}. It is evident that this is very much the same as the formula given under 21.
25. Symbolically i=m+ 1 +1= i, where mei + l.
Cx7
1xc
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