पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/३०५

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107 amounts lent out, which on being combined with or diminished by their respective amounts of interest are equal (in valne) CHAPTER VI MIXED PROBLEMS Examples in illustration thereof. 67. The total capital represented by 8,520 is invested (m parts) at the (respective) rates of 3, 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 18,740 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, on1 being combined with the (respective) amounts of interest, (scen 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 1, 2 and; for 80 (per mouth); then, in this investment, in 8 mouths (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 instalments 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 rale is very elliptical and will become clear from the following working of the example contained in stanzas 72-731- Here the mula or the maximum available amount of an instalment is 60. this, when divided by 7, the amount of the first instalment, gives or 87, of which