1.

Find the principal which becomes Rs. 2648 after getting 10% compund interest per annum for 3 years.

Answer» Let the principal `=Rs. x`
`:.` The amount of Rs. `x` in 3 years at the rate of compound interest of 10% per annum
`=Rs.x xx(1+10/100)^(3)`
`=Rs. x xx(11/10)^(3)`
`impliesRs.x xx1331/1000`
`:.` The compound interet `=Rs. (x xx1331/1000-x)`
`=Rs. (1331x-1000x)/1000=Rs. (331x)/1000`
As per question `(331x)/1000=2648impliesx=(2648xx1000)/331=8000`
Hence the required principal `=Rs. 8000


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