An amount of Rs. 10,000 is put into three investments at the rate of interest of 10%, 12% and
15% per annum. The combined income is Rs 1310 and the combined income of the first and second
investment is Rs 190 short of the income from the third. Find the investment in each using the
determinant method i.e. Cramer’s rule.
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Solution. Let x , y and z be the investments at the rates of interest of 10%, 12% and 15% per annum respectively. It is given that the combined income from the first two incomes is Rs 190 short of the income from the third . Thus, the three investments are of Rs 2000, Rs 3000 and Rs 5000, respectively .
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