15. A sum of 10,000 is lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are (1) 4000, 76000 (2) * 4500, 75500 (3) 5000, 5000 (4) 5500, 4500

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15. (1) Let first part ( =₹ x ) ( therefore ) Second part ( =₹(10000-x) ) ( frac{x times 8 times 1}{100}+frac{(10000-x) times 10 times 1}{100} ) ( Rightarrow quad 8 x+100000-10 x=92000 ) ( Rightarrow quad 2 x=8000 ) ( quad x=4000 ) ( Rightarrow frac{10000 times 92 times 1}{100} ) Hence, first part ( =₹ 4000 ) and second part ( =₹(10000-4000) ) ( =₹ 6000 )

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