A sum of Rs. 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:

Explanation:

Let the sum lent at 8% is x then sum lent at 10% is (10000−x)According to question,

x×8100×1+(10000−x)×10\100×1

=10000×9.2\100×1

=8x\100+10(10000−x)\100=920

8x+100000−10x=92000

−2x+100000=92000

−2x=92000−100000

−2x=−8000

x=4000

Hence,Amount lent at=8%=Rs.4000

Amount lent at 10%=Rs.6000