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एतत् पृष्ठम् परिष्कृतम् अस्ति
107
CHAPTER VI-MIXED PROBLEMS.

amounts lent out, which on being combined with or diminished by their respective amounts of interest are equal (in value).

Examples in illustration thereof

67. The total capital represented by 8,520 is invested (in parts) at the (respective) ratios of 3, 5 and 8 per cent (per month). Then, in this investment, in 5 months the capital amounts lent out are, on being diminished by the (respective) amounts of interest, (seen to be) equal in value. (What are the respective amounts invested thus?)

68. The total capital represented by 4,250 is invested (in parts) at the (respective) rates of 3, 6 and 8 for 60 for 2 months; then, in this investment, in 8 months the capital amounts lent out are, on being diminished by the (respective) amounts of interest, (seen to be) equal in value. (What are the respective amounts invested thus ?)

69. The total capital represented by 13,740 is invested (in parts) at the (respective) rates of 2, 5 and 9 per cent (per month) ; then, in this investment, in 4 months the capital amounts lent out are, on being combined with the (respective) amounts of interest, (seem to be) equal in value. What are the respective amounts invested thus?)

70. The total capital represented by 3,646 is invested (in parts) at the (respective) rates of , and for 80 (per month); then, in this investment, in 8 months (the capital amounts lent out are, on being combined with the respective amounts of interest, seen to be equal in value. What are the respective amounts invested thus?)

The rule for arriving at the capital, the interest, and the time of discharge (of the debt) in relation to the debt-amount (paid up) in installments in arithmetical progression:-

[71]. (The required capital amount in the due debt) is that capital amount (which results) by adding the product of the

 

 

71.^  The rule is very elliptical and will become clear from the following working of the example contained in stanzas 72–:-

Here the mūla or the maximum available amount of an installment is 60; this, when divided by 7, the al mount of the first installment, gives or or , of which