1.

Divide Rs2379 into 3 parts so that their amounts after 2, 3 and 4 years respectivelymay be equal, the rate of interest being 5% per annum at simple interest. Thefirst part is(a) Rs759     (b) Rs 792     (c) Rs 818     (d) Rs 828

Answer» Let the three parts be `x,y and z` respectively.
Now Amount=principal amount +simple interest
simple interest=`(PxxRxxT)/100`
given amount on all three of them are same.
=>`x+(10x)/100=y+(15y)/100=z+(20z)/100`
=>`110x=115y=120z`
=>`y=(110x)/115` and z=`(11x)/12`
Also `x+y+z=2379`
substituting values we get=>x=Rs.828.


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